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Finding the Fourth Proportional to 12,385.67, 18,584.88 and 8,228.54

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Solution

The fourth proportional to 12,385.67, 18,584.88 and 8,228.54 is: 12,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.67 : 18,584.88 = 8,228.54 : x
  2. Step 2: Convert to fraction form
    12,385.67/18,584.88 = 8,228.54/x
  3. Step 3: Cross multiply
    12,385.67x = 18,584.88 × 8,228.54
  4. Step 4: Simplify right side
    12,385.67x = 152,926,428.48
  5. Step 5: Solve for x
    x = 152,926,428.48/12,385.67
  6. Step 6: Final answer
    x = 12,347.05

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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.