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Finding the Fourth Proportional to 13,500.71, 20,248.63 and 4,138.46

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Solution

The fourth proportional to 13,500.71, 20,248.63 and 4,138.46 is: 6,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.71 : 20,248.63 = 4,138.46 : x
  2. Step 2: Convert to fraction form
    13,500.71/20,248.63 = 4,138.46/x
  3. Step 3: Cross multiply
    13,500.71x = 20,248.63 × 4,138.46
  4. Step 4: Simplify right side
    13,500.71x = 83,798,033.72
  5. Step 5: Solve for x
    x = 83,798,033.72/13,500.71
  6. Step 6: Final answer
    x = 6,206.94

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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.