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Finding the Fourth Proportional to 13,504.71, 20,258.46 and 4,144.62

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Solution

The fourth proportional to 13,504.71, 20,258.46 and 4,144.62 is: 6,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.71 : 20,258.46 = 4,144.62 : x
  2. Step 2: Convert to fraction form
    13,504.71/20,258.46 = 4,144.62/x
  3. Step 3: Cross multiply
    13,504.71x = 20,258.46 × 4,144.62
  4. Step 4: Simplify right side
    13,504.71x = 83,963,618.49
  5. Step 5: Solve for x
    x = 83,963,618.49/13,504.71
  6. Step 6: Final answer
    x = 6,217.36

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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.