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Finding the Fourth Proportional to 16,118.12, 24,186 and 6,257.78

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Solution

The fourth proportional to 16,118.12, 24,186 and 6,257.78 is: 9,390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,118.12 : 24,186 = 6,257.78 : x
  2. Step 2: Convert to fraction form
    16,118.12/24,186 = 6,257.78/x
  3. Step 3: Cross multiply
    16,118.12x = 24,186 × 6,257.78
  4. Step 4: Simplify right side
    16,118.12x = 151,350,667.08
  5. Step 5: Solve for x
    x = 151,350,667.08/16,118.12
  6. Step 6: Final answer
    x = 9,390.09

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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.