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Finding the Fourth Proportional to 27,222.41, 40,838.78 and 9,452.40

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Solution

The fourth proportional to 27,222.41, 40,838.78 and 9,452.40 is: 14,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.41 : 40,838.78 = 9,452.40 : x
  2. Step 2: Convert to fraction form
    27,222.41/40,838.78 = 9,452.40/x
  3. Step 3: Cross multiply
    27,222.41x = 40,838.78 × 9,452.40
  4. Step 4: Simplify right side
    27,222.41x = 386,024,354.56
  5. Step 5: Solve for x
    x = 386,024,354.56/27,222.41
  6. Step 6: Final answer
    x = 14,180.39

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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.