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Finding the Fourth Proportional to 27,006.60, 40,509.90 and 9,474.60

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Solution

The fourth proportional to 27,006.60, 40,509.90 and 9,474.60 is: 14,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.60 : 40,509.90 = 9,474.60 : x
  2. Step 2: Convert to fraction form
    27,006.60/40,509.90 = 9,474.60/x
  3. Step 3: Cross multiply
    27,006.60x = 40,509.90 × 9,474.60
  4. Step 4: Simplify right side
    27,006.60x = 383,815,098.54
  5. Step 5: Solve for x
    x = 383,815,098.54/27,006.60
  6. Step 6: Final answer
    x = 14,211.90

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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.