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Finding the Fourth Proportional to 16,400.42, 24,601.01 and 5,871.16

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Solution

The fourth proportional to 16,400.42, 24,601.01 and 5,871.16 is: 8,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.42 : 24,601.01 = 5,871.16 : x
  2. Step 2: Convert to fraction form
    16,400.42/24,601.01 = 5,871.16/x
  3. Step 3: Cross multiply
    16,400.42x = 24,601.01 × 5,871.16
  4. Step 4: Simplify right side
    16,400.42x = 144,436,436.52
  5. Step 5: Solve for x
    x = 144,436,436.52/16,400.42
  6. Step 6: Final answer
    x = 8,806.87

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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.