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Finding the Fourth Proportional to 22,552.56, 33,838.56 and 9,407.52

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Solution

The fourth proportional to 22,552.56, 33,838.56 and 9,407.52 is: 14,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.56 : 33,838.56 = 9,407.52 : x
  2. Step 2: Convert to fraction form
    22,552.56/33,838.56 = 9,407.52/x
  3. Step 3: Cross multiply
    22,552.56x = 33,838.56 × 9,407.52
  4. Step 4: Simplify right side
    22,552.56x = 318,336,929.97
  5. Step 5: Solve for x
    x = 318,336,929.97/22,552.56
  6. Step 6: Final answer
    x = 14,115.33

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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.