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Finding the Fourth Proportional to 15,229.29, 22,828.38 and 8,641.56

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Solution

The fourth proportional to 15,229.29, 22,828.38 and 8,641.56 is: 12,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.29 : 22,828.38 = 8,641.56 : x
  2. Step 2: Convert to fraction form
    15,229.29/22,828.38 = 8,641.56/x
  3. Step 3: Cross multiply
    15,229.29x = 22,828.38 × 8,641.56
  4. Step 4: Simplify right side
    15,229.29x = 197,272,815.47
  5. Step 5: Solve for x
    x = 197,272,815.47/15,229.29
  6. Step 6: Final answer
    x = 12,953.51

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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.