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Finding the Fourth Proportional to 16,072.38, 24,124.12 and 7,758.25

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Solution

The fourth proportional to 16,072.38, 24,124.12 and 7,758.25 is: 11,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.38 : 24,124.12 = 7,758.25 : x
  2. Step 2: Convert to fraction form
    16,072.38/24,124.12 = 7,758.25/x
  3. Step 3: Cross multiply
    16,072.38x = 24,124.12 × 7,758.25
  4. Step 4: Simplify right side
    16,072.38x = 187,160,874.28
  5. Step 5: Solve for x
    x = 187,160,874.28/16,072.38
  6. Step 6: Final answer
    x = 11,644.88

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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.