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Finding the Fourth Proportional to 17,710.10, 24,439.56 and 9,752.12

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Solution

The fourth proportional to 17,710.10, 24,439.56 and 9,752.12 is: 13,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.10 : 24,439.56 = 9,752.12 : x
  2. Step 2: Convert to fraction form
    17,710.10/24,439.56 = 9,752.12/x
  3. Step 3: Cross multiply
    17,710.10x = 24,439.56 × 9,752.12
  4. Step 4: Simplify right side
    17,710.10x = 238,337,521.87
  5. Step 5: Solve for x
    x = 238,337,521.87/17,710.10
  6. Step 6: Final answer
    x = 13,457.72

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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.