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Finding the Fourth Proportional to 12,341.52, 18,512.28 and 7,144.56

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Solution

The fourth proportional to 12,341.52, 18,512.28 and 7,144.56 is: 10,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.52 : 18,512.28 = 7,144.56 : x
  2. Step 2: Convert to fraction form
    12,341.52/18,512.28 = 7,144.56/x
  3. Step 3: Cross multiply
    12,341.52x = 18,512.28 × 7,144.56
  4. Step 4: Simplify right side
    12,341.52x = 132,262,095.20
  5. Step 5: Solve for x
    x = 132,262,095.20/12,341.52
  6. Step 6: Final answer
    x = 10,716.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.