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Finding the Fourth Proportional to 14,096.64, 19,453.38 and 7,809

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Solution

The fourth proportional to 14,096.64, 19,453.38 and 7,809 is: 10,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.64 : 19,453.38 = 7,809 : x
  2. Step 2: Convert to fraction form
    14,096.64/19,453.38 = 7,809/x
  3. Step 3: Cross multiply
    14,096.64x = 19,453.38 × 7,809
  4. Step 4: Simplify right side
    14,096.64x = 151,911,444.42
  5. Step 5: Solve for x
    x = 151,911,444.42/14,096.64
  6. Step 6: Final answer
    x = 10,776.43

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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.