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Finding the Fourth Proportional to 13,881.40, 20,824.16 and 4,019.45

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Solution

The fourth proportional to 13,881.40, 20,824.16 and 4,019.45 is: 6,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.40 : 20,824.16 = 4,019.45 : x
  2. Step 2: Convert to fraction form
    13,881.40/20,824.16 = 4,019.45/x
  3. Step 3: Cross multiply
    13,881.40x = 20,824.16 × 4,019.45
  4. Step 4: Simplify right side
    13,881.40x = 83,701,545.69
  5. Step 5: Solve for x
    x = 83,701,545.69/13,881.40
  6. Step 6: Final answer
    x = 6,029.76

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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.