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Finding the Fourth Proportional to 17,617.68, 24,312.39 and 9,660.04

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Solution

The fourth proportional to 17,617.68, 24,312.39 and 9,660.04 is: 13,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.68 : 24,312.39 = 9,660.04 : x
  2. Step 2: Convert to fraction form
    17,617.68/24,312.39 = 9,660.04/x
  3. Step 3: Cross multiply
    17,617.68x = 24,312.39 × 9,660.04
  4. Step 4: Simplify right side
    17,617.68x = 234,858,562.89
  5. Step 5: Solve for x
    x = 234,858,562.89/17,617.68
  6. Step 6: Final answer
    x = 13,330.85

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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.