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Finding the Fourth Proportional to 27,704.16, 41,562 and 12,117.60

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Solution

The fourth proportional to 27,704.16, 41,562 and 12,117.60 is: 18,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.16 : 41,562 = 12,117.60 : x
  2. Step 2: Convert to fraction form
    27,704.16/41,562 = 12,117.60/x
  3. Step 3: Cross multiply
    27,704.16x = 41,562 × 12,117.60
  4. Step 4: Simplify right side
    27,704.16x = 503,631,691.20
  5. Step 5: Solve for x
    x = 503,631,691.20/27,704.16
  6. Step 6: Final answer
    x = 18,178.92

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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.