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Finding the Fourth Proportional to 20,797.28, 31,160.72 and 12,572

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Solution

The fourth proportional to 20,797.28, 31,160.72 and 12,572 is: 18,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.28 : 31,160.72 = 12,572 : x
  2. Step 2: Convert to fraction form
    20,797.28/31,160.72 = 12,572/x
  3. Step 3: Cross multiply
    20,797.28x = 31,160.72 × 12,572
  4. Step 4: Simplify right side
    20,797.28x = 391,752,571.84
  5. Step 5: Solve for x
    x = 391,752,571.84/20,797.28
  6. Step 6: Final answer
    x = 18,836.72

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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.