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Finding the Fourth Proportional to 13,572.24, 20,331 and 6,797.40

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Solution

The fourth proportional to 13,572.24, 20,331 and 6,797.40 is: 10,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.24 : 20,331 = 6,797.40 : x
  2. Step 2: Convert to fraction form
    13,572.24/20,331 = 6,797.40/x
  3. Step 3: Cross multiply
    13,572.24x = 20,331 × 6,797.40
  4. Step 4: Simplify right side
    13,572.24x = 138,197,939.40
  5. Step 5: Solve for x
    x = 138,197,939.40/13,572.24
  6. Step 6: Final answer
    x = 10,182.40

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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.