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Finding the Fourth Proportional to 15,114.85, 22,672.50 and 5,254.47

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Solution

The fourth proportional to 15,114.85, 22,672.50 and 5,254.47 is: 7,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.85 : 22,672.50 = 5,254.47 : x
  2. Step 2: Convert to fraction form
    15,114.85/22,672.50 = 5,254.47/x
  3. Step 3: Cross multiply
    15,114.85x = 22,672.50 × 5,254.47
  4. Step 4: Simplify right side
    15,114.85x = 119,131,857.71
  5. Step 5: Solve for x
    x = 119,131,857.71/15,114.85
  6. Step 6: Final answer
    x = 7,881.78

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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.