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Finding the Fourth Proportional to 15,165, 22,750.92 and 5,931

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Solution

The fourth proportional to 15,165, 22,750.92 and 5,931 is: 8,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165 : 22,750.92 = 5,931 : x
  2. Step 2: Convert to fraction form
    15,165/22,750.92 = 5,931/x
  3. Step 3: Cross multiply
    15,165x = 22,750.92 × 5,931
  4. Step 4: Simplify right side
    15,165x = 134,935,706.52
  5. Step 5: Solve for x
    x = 134,935,706.52/15,165
  6. Step 6: Final answer
    x = 8,897.84

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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.