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Finding the Fourth Proportional to 14,093.77, 19,449.16 and 7,806.01

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Solution

The fourth proportional to 14,093.77, 19,449.16 and 7,806.01 is: 10,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.77 : 19,449.16 = 7,806.01 : x
  2. Step 2: Convert to fraction form
    14,093.77/19,449.16 = 7,806.01/x
  3. Step 3: Cross multiply
    14,093.77x = 19,449.16 × 7,806.01
  4. Step 4: Simplify right side
    14,093.77x = 151,820,337.45
  5. Step 5: Solve for x
    x = 151,820,337.45/14,093.77
  6. Step 6: Final answer
    x = 10,772.16

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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.