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Finding the Fourth Proportional to 17,618.72, 24,314.04 and 9,661.14

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Solution

The fourth proportional to 17,618.72, 24,314.04 and 9,661.14 is: 13,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.72 : 24,314.04 = 9,661.14 : x
  2. Step 2: Convert to fraction form
    17,618.72/24,314.04 = 9,661.14/x
  3. Step 3: Cross multiply
    17,618.72x = 24,314.04 × 9,661.14
  4. Step 4: Simplify right side
    17,618.72x = 234,901,344.41
  5. Step 5: Solve for x
    x = 234,901,344.41/17,618.72
  6. Step 6: Final answer
    x = 13,332.49

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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.