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Finding the Fourth Proportional to 12,177.57, 18,253.79 and 4,679.10

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Solution

The fourth proportional to 12,177.57, 18,253.79 and 4,679.10 is: 7,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.57 : 18,253.79 = 4,679.10 : x
  2. Step 2: Convert to fraction form
    12,177.57/18,253.79 = 4,679.10/x
  3. Step 3: Cross multiply
    12,177.57x = 18,253.79 × 4,679.10
  4. Step 4: Simplify right side
    12,177.57x = 85,411,302.94
  5. Step 5: Solve for x
    x = 85,411,302.94/12,177.57
  6. Step 6: Final answer
    x = 7,013.82

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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.