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Finding the Fourth Proportional to 16,809.72, 25,207.28 and 5,713.43

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Solution

The fourth proportional to 16,809.72, 25,207.28 and 5,713.43 is: 8,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.72 : 25,207.28 = 5,713.43 : x
  2. Step 2: Convert to fraction form
    16,809.72/25,207.28 = 5,713.43/x
  3. Step 3: Cross multiply
    16,809.72x = 25,207.28 × 5,713.43
  4. Step 4: Simplify right side
    16,809.72x = 144,019,918.02
  5. Step 5: Solve for x
    x = 144,019,918.02/16,809.72
  6. Step 6: Final answer
    x = 8,567.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.