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Finding the Fourth Proportional to 14,322,616.02, 19,765,462.05 and 7,796,433.06

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Solution

The fourth proportional to 14,322,616.02, 19,765,462.05 and 7,796,433.06 is: 10,759,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322,616.02 : 19,765,462.05 = 7,796,433.06 : x
  2. Step 2: Convert to fraction form
    14,322,616.02/19,765,462.05 = 7,796,433.06/x
  3. Step 3: Cross multiply
    14,322,616.02x = 19,765,462.05 × 7,796,433.06
  4. Step 4: Simplify right side
    14,322,616.02x = 154,100,101,772,795.38
  5. Step 5: Solve for x
    x = 154,100,101,772,795.38/14,322,616.02
  6. Step 6: Final answer
    x = 10,759,214.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.