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Finding the Fourth Proportional to 16,052.95, 24,082.25 and 5,524.07

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Solution

The fourth proportional to 16,052.95, 24,082.25 and 5,524.07 is: 8,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,052.95 : 24,082.25 = 5,524.07 : x
  2. Step 2: Convert to fraction form
    16,052.95/24,082.25 = 5,524.07/x
  3. Step 3: Cross multiply
    16,052.95x = 24,082.25 × 5,524.07
  4. Step 4: Simplify right side
    16,052.95x = 133,031,886.73
  5. Step 5: Solve for x
    x = 133,031,886.73/16,052.95
  6. Step 6: Final answer
    x = 8,287.07

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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.