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Finding the Fourth Proportional to 15,011.78, 22,512.27 and 5,148.50

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Solution

The fourth proportional to 15,011.78, 22,512.27 and 5,148.50 is: 7,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.78 : 22,512.27 = 5,148.50 : x
  2. Step 2: Convert to fraction form
    15,011.78/22,512.27 = 5,148.50/x
  3. Step 3: Cross multiply
    15,011.78x = 22,512.27 × 5,148.50
  4. Step 4: Simplify right side
    15,011.78x = 115,904,422.10
  5. Step 5: Solve for x
    x = 115,904,422.10/15,011.78
  6. Step 6: Final answer
    x = 7,720.90

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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.