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Finding the Fourth Proportional to 11,613.52, 16,034.76 and 8,920.24

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Solution

The fourth proportional to 11,613.52, 16,034.76 and 8,920.24 is: 12,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.52 : 16,034.76 = 8,920.24 : x
  2. Step 2: Convert to fraction form
    11,613.52/16,034.76 = 8,920.24/x
  3. Step 3: Cross multiply
    11,613.52x = 16,034.76 × 8,920.24
  4. Step 4: Simplify right side
    11,613.52x = 143,033,907.54
  5. Step 5: Solve for x
    x = 143,033,907.54/11,613.52
  6. Step 6: Final answer
    x = 12,316.15

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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.