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Finding the Fourth Proportional to 12,572.85, 18,862.38 and 8,882.31

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Solution

The fourth proportional to 12,572.85, 18,862.38 and 8,882.31 is: 13,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.85 : 18,862.38 = 8,882.31 : x
  2. Step 2: Convert to fraction form
    12,572.85/18,862.38 = 8,882.31/x
  3. Step 3: Cross multiply
    12,572.85x = 18,862.38 × 8,882.31
  4. Step 4: Simplify right side
    12,572.85x = 167,541,506.50
  5. Step 5: Solve for x
    x = 167,541,506.50/12,572.85
  6. Step 6: Final answer
    x = 13,325.66

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Why These Related Problems?

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