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Finding the Fourth Proportional to 17,617.17, 24,312.51 and 9,660

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Solution

The fourth proportional to 17,617.17, 24,312.51 and 9,660 is: 13,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.17 : 24,312.51 = 9,660 : x
  2. Step 2: Convert to fraction form
    17,617.17/24,312.51 = 9,660/x
  3. Step 3: Cross multiply
    17,617.17x = 24,312.51 × 9,660
  4. Step 4: Simplify right side
    17,617.17x = 234,858,846.60
  5. Step 5: Solve for x
    x = 234,858,846.60/17,617.17
  6. Step 6: Final answer
    x = 13,331.25

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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.