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Finding the Fourth Proportional to 16,461.38, 24,686.22 and 5,928.57

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Solution

The fourth proportional to 16,461.38, 24,686.22 and 5,928.57 is: 8,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.38 : 24,686.22 = 5,928.57 : x
  2. Step 2: Convert to fraction form
    16,461.38/24,686.22 = 5,928.57/x
  3. Step 3: Cross multiply
    16,461.38x = 24,686.22 × 5,928.57
  4. Step 4: Simplify right side
    16,461.38x = 146,353,983.31
  5. Step 5: Solve for x
    x = 146,353,983.31/16,461.38
  6. Step 6: Final answer
    x = 8,890.75

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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.