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Finding the Fourth Proportional to 17,714.81, 24,446.07 and 9,757.10

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Solution

The fourth proportional to 17,714.81, 24,446.07 and 9,757.10 is: 13,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.81 : 24,446.07 = 9,757.10 : x
  2. Step 2: Convert to fraction form
    17,714.81/24,446.07 = 9,757.10/x
  3. Step 3: Cross multiply
    17,714.81x = 24,446.07 × 9,757.10
  4. Step 4: Simplify right side
    17,714.81x = 238,522,810.71
  5. Step 5: Solve for x
    x = 238,522,810.71/17,714.81
  6. Step 6: Final answer
    x = 13,464.60

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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.