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Finding the Fourth Proportional to 27,524.68, 41,314.46 and 12,737

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Solution

The fourth proportional to 27,524.68, 41,314.46 and 12,737 is: 19,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.68 : 41,314.46 = 12,737 : x
  2. Step 2: Convert to fraction form
    27,524.68/41,314.46 = 12,737/x
  3. Step 3: Cross multiply
    27,524.68x = 41,314.46 × 12,737
  4. Step 4: Simplify right side
    27,524.68x = 526,222,277.02
  5. Step 5: Solve for x
    x = 526,222,277.02/27,524.68
  6. Step 6: Final answer
    x = 19,118.20

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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.