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Finding the Fourth Proportional to 15,049.68, 22,589.16 and 9,217.68

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Solution

The fourth proportional to 15,049.68, 22,589.16 and 9,217.68 is: 13,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,049.68 : 22,589.16 = 9,217.68 : x
  2. Step 2: Convert to fraction form
    15,049.68/22,589.16 = 9,217.68/x
  3. Step 3: Cross multiply
    15,049.68x = 22,589.16 × 9,217.68
  4. Step 4: Simplify right side
    15,049.68x = 208,219,648.35
  5. Step 5: Solve for x
    x = 208,219,648.35/15,049.68
  6. Step 6: Final answer
    x = 13,835.49

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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.