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Finding the Fourth Proportional to 17,616.32, 24,312.06 and 9,660.10

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Solution

The fourth proportional to 17,616.32, 24,312.06 and 9,660.10 is: 13,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.32 : 24,312.06 = 9,660.10 : x
  2. Step 2: Convert to fraction form
    17,616.32/24,312.06 = 9,660.10/x
  3. Step 3: Cross multiply
    17,616.32x = 24,312.06 × 9,660.10
  4. Step 4: Simplify right side
    17,616.32x = 234,856,930.81
  5. Step 5: Solve for x
    x = 234,856,930.81/17,616.32
  6. Step 6: Final answer
    x = 13,331.78

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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.