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Finding the Fourth Proportional to 13,972.65, 20,965.89 and 10,291.20

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Solution

The fourth proportional to 13,972.65, 20,965.89 and 10,291.20 is: 15,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.65 : 20,965.89 = 10,291.20 : x
  2. Step 2: Convert to fraction form
    13,972.65/20,965.89 = 10,291.20/x
  3. Step 3: Cross multiply
    13,972.65x = 20,965.89 × 10,291.20
  4. Step 4: Simplify right side
    13,972.65x = 215,764,187.18
  5. Step 5: Solve for x
    x = 215,764,187.18/13,972.65
  6. Step 6: Final answer
    x = 15,441.89

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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.