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Finding the Fourth Proportional to 17,617.29, 24,311.68 and 9,659.50

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Solution

The fourth proportional to 17,617.29, 24,311.68 and 9,659.50 is: 13,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.29 : 24,311.68 = 9,659.50 : x
  2. Step 2: Convert to fraction form
    17,617.29/24,311.68 = 9,659.50/x
  3. Step 3: Cross multiply
    17,617.29x = 24,311.68 × 9,659.50
  4. Step 4: Simplify right side
    17,617.29x = 234,838,503.10
  5. Step 5: Solve for x
    x = 234,838,503.10/17,617.29
  6. Step 6: Final answer
    x = 13,330.00

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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.