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Finding the Fourth Proportional to 12,478.24, 18,717.38 and 3,713.24

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Solution

The fourth proportional to 12,478.24, 18,717.38 and 3,713.24 is: 5,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.24 : 18,717.38 = 3,713.24 : x
  2. Step 2: Convert to fraction form
    12,478.24/18,717.38 = 3,713.24/x
  3. Step 3: Cross multiply
    12,478.24x = 18,717.38 × 3,713.24
  4. Step 4: Simplify right side
    12,478.24x = 69,502,124.11
  5. Step 5: Solve for x
    x = 69,502,124.11/12,478.24
  6. Step 6: Final answer
    x = 5,569.87

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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.