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Finding the Fourth Proportional to 12,234.57, 18,354.14 and 5,660.75

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Solution

The fourth proportional to 12,234.57, 18,354.14 and 5,660.75 is: 8,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.57 : 18,354.14 = 5,660.75 : x
  2. Step 2: Convert to fraction form
    12,234.57/18,354.14 = 5,660.75/x
  3. Step 3: Cross multiply
    12,234.57x = 18,354.14 × 5,660.75
  4. Step 4: Simplify right side
    12,234.57x = 103,898,077.93
  5. Step 5: Solve for x
    x = 103,898,077.93/12,234.57
  6. Step 6: Final answer
    x = 8,492.17

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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.