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Finding the Fourth Proportional to 13,524.40, 20,267.40 and 9,986.80

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Solution

The fourth proportional to 13,524.40, 20,267.40 and 9,986.80 is: 14,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.40 : 20,267.40 = 9,986.80 : x
  2. Step 2: Convert to fraction form
    13,524.40/20,267.40 = 9,986.80/x
  3. Step 3: Cross multiply
    13,524.40x = 20,267.40 × 9,986.80
  4. Step 4: Simplify right side
    13,524.40x = 202,406,470.32
  5. Step 5: Solve for x
    x = 202,406,470.32/13,524.40
  6. Step 6: Final answer
    x = 14,966.02

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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.