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Finding the Fourth Proportional to 24,744.74, 34,141.84 and 13,989.83

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Solution

The fourth proportional to 24,744.74, 34,141.84 and 13,989.83 is: 19,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.74 : 34,141.84 = 13,989.83 : x
  2. Step 2: Convert to fraction form
    24,744.74/34,141.84 = 13,989.83/x
  3. Step 3: Cross multiply
    24,744.74x = 34,141.84 × 13,989.83
  4. Step 4: Simplify right side
    24,744.74x = 477,638,331.80
  5. Step 5: Solve for x
    x = 477,638,331.80/24,744.74
  6. Step 6: Final answer
    x = 19,302.62

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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.