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Finding the Fourth Proportional to 14,719.20, 20,309.04 and 9,947.90

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Solution

The fourth proportional to 14,719.20, 20,309.04 and 9,947.90 is: 13,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.20 : 20,309.04 = 9,947.90 : x
  2. Step 2: Convert to fraction form
    14,719.20/20,309.04 = 9,947.90/x
  3. Step 3: Cross multiply
    14,719.20x = 20,309.04 × 9,947.90
  4. Step 4: Simplify right side
    14,719.20x = 202,032,197.47
  5. Step 5: Solve for x
    x = 202,032,197.47/14,719.20
  6. Step 6: Final answer
    x = 13,725.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.