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Finding the Fourth Proportional to 12,419.16, 18,626.76 and 10,324.20

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Solution

The fourth proportional to 12,419.16, 18,626.76 and 10,324.20 is: 15,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.16 : 18,626.76 = 10,324.20 : x
  2. Step 2: Convert to fraction form
    12,419.16/18,626.76 = 10,324.20/x
  3. Step 3: Cross multiply
    12,419.16x = 18,626.76 × 10,324.20
  4. Step 4: Simplify right side
    12,419.16x = 192,306,395.59
  5. Step 5: Solve for x
    x = 192,306,395.59/12,419.16
  6. Step 6: Final answer
    x = 15,484.65

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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.