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Finding the Fourth Proportional to 13,712.41, 18,923.17 and 7,424.78

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Solution

The fourth proportional to 13,712.41, 18,923.17 and 7,424.78 is: 10,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.41 : 18,923.17 = 7,424.78 : x
  2. Step 2: Convert to fraction form
    13,712.41/18,923.17 = 7,424.78/x
  3. Step 3: Cross multiply
    13,712.41x = 18,923.17 × 7,424.78
  4. Step 4: Simplify right side
    13,712.41x = 140,500,374.15
  5. Step 5: Solve for x
    x = 140,500,374.15/13,712.41
  6. Step 6: Final answer
    x = 10,246.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.