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Finding the Fourth Proportional to 17,683.13, 24,402.28 and 9,616.69

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Solution

The fourth proportional to 17,683.13, 24,402.28 and 9,616.69 is: 13,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.13 : 24,402.28 = 9,616.69 : x
  2. Step 2: Convert to fraction form
    17,683.13/24,402.28 = 9,616.69/x
  3. Step 3: Cross multiply
    17,683.13x = 24,402.28 × 9,616.69
  4. Step 4: Simplify right side
    17,683.13x = 234,669,204.58
  5. Step 5: Solve for x
    x = 234,669,204.58/17,683.13
  6. Step 6: Final answer
    x = 13,270.79

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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.