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Finding the Fourth Proportional to 13,426.90, 20,140.35 and 7,882.90

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Solution

The fourth proportional to 13,426.90, 20,140.35 and 7,882.90 is: 11,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.90 : 20,140.35 = 7,882.90 : x
  2. Step 2: Convert to fraction form
    13,426.90/20,140.35 = 7,882.90/x
  3. Step 3: Cross multiply
    13,426.90x = 20,140.35 × 7,882.90
  4. Step 4: Simplify right side
    13,426.90x = 158,764,365.02
  5. Step 5: Solve for x
    x = 158,764,365.02/13,426.90
  6. Step 6: Final answer
    x = 11,824.35

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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.