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Finding the Fourth Proportional to 30,272.16, 41,769 and 17,691.12

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Solution

The fourth proportional to 30,272.16, 41,769 and 17,691.12 is: 24,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.16 : 41,769 = 17,691.12 : x
  2. Step 2: Convert to fraction form
    30,272.16/41,769 = 17,691.12/x
  3. Step 3: Cross multiply
    30,272.16x = 41,769 × 17,691.12
  4. Step 4: Simplify right side
    30,272.16x = 738,940,391.28
  5. Step 5: Solve for x
    x = 738,940,391.28/30,272.16
  6. Step 6: Final answer
    x = 24,409.90

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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.