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Finding the Fourth Proportional to 15,101.92, 22,652.88 and 5,870.08

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Solution

The fourth proportional to 15,101.92, 22,652.88 and 5,870.08 is: 8,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.92 : 22,652.88 = 5,870.08 : x
  2. Step 2: Convert to fraction form
    15,101.92/22,652.88 = 5,870.08/x
  3. Step 3: Cross multiply
    15,101.92x = 22,652.88 × 5,870.08
  4. Step 4: Simplify right side
    15,101.92x = 132,974,217.83
  5. Step 5: Solve for x
    x = 132,974,217.83/15,101.92
  6. Step 6: Final answer
    x = 8,805.12

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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.