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Finding the Fourth Proportional to 17,710.13, 24,439.49 and 9,752.40

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Solution

The fourth proportional to 17,710.13, 24,439.49 and 9,752.40 is: 13,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.13 : 24,439.49 = 9,752.40 : x
  2. Step 2: Convert to fraction form
    17,710.13/24,439.49 = 9,752.40/x
  3. Step 3: Cross multiply
    17,710.13x = 24,439.49 × 9,752.40
  4. Step 4: Simplify right side
    17,710.13x = 238,343,633.51
  5. Step 5: Solve for x
    x = 238,343,633.51/17,710.13
  6. Step 6: Final answer
    x = 13,458.04

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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.