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Finding the Fourth Proportional to 12,253.86, 18,378.96 and 3,489.48

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Solution

The fourth proportional to 12,253.86, 18,378.96 and 3,489.48 is: 5,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.86 : 18,378.96 = 3,489.48 : x
  2. Step 2: Convert to fraction form
    12,253.86/18,378.96 = 3,489.48/x
  3. Step 3: Cross multiply
    12,253.86x = 18,378.96 × 3,489.48
  4. Step 4: Simplify right side
    12,253.86x = 64,133,013.34
  5. Step 5: Solve for x
    x = 64,133,013.34/12,253.86
  6. Step 6: Final answer
    x = 5,233.70

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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.