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Finding the Fourth Proportional to 15,209.06, 22,826.55 and 8,959.91

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Solution

The fourth proportional to 15,209.06, 22,826.55 and 8,959.91 is: 13,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.06 : 22,826.55 = 8,959.91 : x
  2. Step 2: Convert to fraction form
    15,209.06/22,826.55 = 8,959.91/x
  3. Step 3: Cross multiply
    15,209.06x = 22,826.55 × 8,959.91
  4. Step 4: Simplify right side
    15,209.06x = 204,523,833.61
  5. Step 5: Solve for x
    x = 204,523,833.61/15,209.06
  6. Step 6: Final answer
    x = 13,447.50

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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.