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Finding the Fourth Proportional to 15,013.64, 22,508.30 and 6,255.12

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Solution

The fourth proportional to 15,013.64, 22,508.30 and 6,255.12 is: 9,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,013.64 : 22,508.30 = 6,255.12 : x
  2. Step 2: Convert to fraction form
    15,013.64/22,508.30 = 6,255.12/x
  3. Step 3: Cross multiply
    15,013.64x = 22,508.30 × 6,255.12
  4. Step 4: Simplify right side
    15,013.64x = 140,792,117.50
  5. Step 5: Solve for x
    x = 140,792,117.50/15,013.64
  6. Step 6: Final answer
    x = 9,377.61

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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.