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Finding the Fourth Proportional to 15,978.52, 22,049.85 and 10,013.41

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Solution

The fourth proportional to 15,978.52, 22,049.85 and 10,013.41 is: 13,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.52 : 22,049.85 = 10,013.41 : x
  2. Step 2: Convert to fraction form
    15,978.52/22,049.85 = 10,013.41/x
  3. Step 3: Cross multiply
    15,978.52x = 22,049.85 × 10,013.41
  4. Step 4: Simplify right side
    15,978.52x = 220,794,188.49
  5. Step 5: Solve for x
    x = 220,794,188.49/15,978.52
  6. Step 6: Final answer
    x = 13,818.19

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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.