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Finding the Fourth Proportional to 13,526.20, 20,279.70 and 6,134.20

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Solution

The fourth proportional to 13,526.20, 20,279.70 and 6,134.20 is: 9,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.20 : 20,279.70 = 6,134.20 : x
  2. Step 2: Convert to fraction form
    13,526.20/20,279.70 = 6,134.20/x
  3. Step 3: Cross multiply
    13,526.20x = 20,279.70 × 6,134.20
  4. Step 4: Simplify right side
    13,526.20x = 124,399,735.74
  5. Step 5: Solve for x
    x = 124,399,735.74/13,526.20
  6. Step 6: Final answer
    x = 9,196.95

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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.