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Finding the Fourth Proportional to 27,180.60, 40,774.98 and 9,648.96

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Solution

The fourth proportional to 27,180.60, 40,774.98 and 9,648.96 is: 14,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.60 : 40,774.98 = 9,648.96 : x
  2. Step 2: Convert to fraction form
    27,180.60/40,774.98 = 9,648.96/x
  3. Step 3: Cross multiply
    27,180.60x = 40,774.98 × 9,648.96
  4. Step 4: Simplify right side
    27,180.60x = 393,436,151.02
  5. Step 5: Solve for x
    x = 393,436,151.02/27,180.60
  6. Step 6: Final answer
    x = 14,474.89

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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.