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Finding the Fourth Proportional to 13,524.14, 20,258.66 and 11,034.20

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Solution

The fourth proportional to 13,524.14, 20,258.66 and 11,034.20 is: 16,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.14 : 20,258.66 = 11,034.20 : x
  2. Step 2: Convert to fraction form
    13,524.14/20,258.66 = 11,034.20/x
  3. Step 3: Cross multiply
    13,524.14x = 20,258.66 × 11,034.20
  4. Step 4: Simplify right side
    13,524.14x = 223,537,949.71
  5. Step 5: Solve for x
    x = 223,537,949.71/13,524.14
  6. Step 6: Final answer
    x = 16,528.82

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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.