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Finding the Fourth Proportional to 13,947.50, 20,919.90 and 5,182.40

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Solution

The fourth proportional to 13,947.50, 20,919.90 and 5,182.40 is: 7,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.50 : 20,919.90 = 5,182.40 : x
  2. Step 2: Convert to fraction form
    13,947.50/20,919.90 = 5,182.40/x
  3. Step 3: Cross multiply
    13,947.50x = 20,919.90 × 5,182.40
  4. Step 4: Simplify right side
    13,947.50x = 108,415,289.76
  5. Step 5: Solve for x
    x = 108,415,289.76/13,947.50
  6. Step 6: Final answer
    x = 7,773.10

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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.