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Finding the Fourth Proportional to 16,218.40, 24,314.08 and 6,865.60

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Solution

The fourth proportional to 16,218.40, 24,314.08 and 6,865.60 is: 10,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.40 : 24,314.08 = 6,865.60 : x
  2. Step 2: Convert to fraction form
    16,218.40/24,314.08 = 6,865.60/x
  3. Step 3: Cross multiply
    16,218.40x = 24,314.08 × 6,865.60
  4. Step 4: Simplify right side
    16,218.40x = 166,930,747.65
  5. Step 5: Solve for x
    x = 166,930,747.65/16,218.40
  6. Step 6: Final answer
    x = 10,292.68

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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.