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Finding the Fourth Proportional to 17,714.72, 24,447 and 9,757.28

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Solution

The fourth proportional to 17,714.72, 24,447 and 9,757.28 is: 13,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.72 : 24,447 = 9,757.28 : x
  2. Step 2: Convert to fraction form
    17,714.72/24,447 = 9,757.28/x
  3. Step 3: Cross multiply
    17,714.72x = 24,447 × 9,757.28
  4. Step 4: Simplify right side
    17,714.72x = 238,536,224.16
  5. Step 5: Solve for x
    x = 238,536,224.16/17,714.72
  6. Step 6: Final answer
    x = 13,465.42

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