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Finding the Fourth Proportional to 15,862.56, 21,890.33 and 9,489.42

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Solution

The fourth proportional to 15,862.56, 21,890.33 and 9,489.42 is: 13,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.56 : 21,890.33 = 9,489.42 : x
  2. Step 2: Convert to fraction form
    15,862.56/21,890.33 = 9,489.42/x
  3. Step 3: Cross multiply
    15,862.56x = 21,890.33 × 9,489.42
  4. Step 4: Simplify right side
    15,862.56x = 207,726,423.57
  5. Step 5: Solve for x
    x = 207,726,423.57/15,862.56
  6. Step 6: Final answer
    x = 13,095.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.