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Finding the Fourth Proportional to 15,013.50, 22,528.28 and 9,747.28

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Solution

The fourth proportional to 15,013.50, 22,528.28 and 9,747.28 is: 14,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,013.50 : 22,528.28 = 9,747.28 : x
  2. Step 2: Convert to fraction form
    15,013.50/22,528.28 = 9,747.28/x
  3. Step 3: Cross multiply
    15,013.50x = 22,528.28 × 9,747.28
  4. Step 4: Simplify right side
    15,013.50x = 219,589,378.89
  5. Step 5: Solve for x
    x = 219,589,378.89/15,013.50
  6. Step 6: Final answer
    x = 14,626.13

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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.