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Finding the Fourth Proportional to 15,241.92, 22,872 and 8,677.44

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Solution

The fourth proportional to 15,241.92, 22,872 and 8,677.44 is: 13,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,241.92 : 22,872 = 8,677.44 : x
  2. Step 2: Convert to fraction form
    15,241.92/22,872 = 8,677.44/x
  3. Step 3: Cross multiply
    15,241.92x = 22,872 × 8,677.44
  4. Step 4: Simplify right side
    15,241.92x = 198,470,407.68
  5. Step 5: Solve for x
    x = 198,470,407.68/15,241.92
  6. Step 6: Final answer
    x = 13,021.35

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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.