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Finding the Fourth Proportional to 28,456.36, 42,677.16 and 8,461.16

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Solution

The fourth proportional to 28,456.36, 42,677.16 and 8,461.16 is: 12,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,456.36 : 42,677.16 = 8,461.16 : x
  2. Step 2: Convert to fraction form
    28,456.36/42,677.16 = 8,461.16/x
  3. Step 3: Cross multiply
    28,456.36x = 42,677.16 × 8,461.16
  4. Step 4: Simplify right side
    28,456.36x = 361,098,279.11
  5. Step 5: Solve for x
    x = 361,098,279.11/28,456.36
  6. Step 6: Final answer
    x = 12,689.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.