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Finding the Fourth Proportional to 13,439.84, 20,161.84 and 6,862.46

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Solution

The fourth proportional to 13,439.84, 20,161.84 and 6,862.46 is: 10,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.84 : 20,161.84 = 6,862.46 : x
  2. Step 2: Convert to fraction form
    13,439.84/20,161.84 = 6,862.46/x
  3. Step 3: Cross multiply
    13,439.84x = 20,161.84 × 6,862.46
  4. Step 4: Simplify right side
    13,439.84x = 138,359,820.53
  5. Step 5: Solve for x
    x = 138,359,820.53/13,439.84
  6. Step 6: Final answer
    x = 10,294.75

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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.