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Finding the Fourth Proportional to 12,169.50, 16,794.50 and 6,864.20

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Solution

The fourth proportional to 12,169.50, 16,794.50 and 6,864.20 is: 9,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.50 : 16,794.50 = 6,864.20 : x
  2. Step 2: Convert to fraction form
    12,169.50/16,794.50 = 6,864.20/x
  3. Step 3: Cross multiply
    12,169.50x = 16,794.50 × 6,864.20
  4. Step 4: Simplify right side
    12,169.50x = 115,280,688.61
  5. Step 5: Solve for x
    x = 115,280,688.61/12,169.50
  6. Step 6: Final answer
    x = 9,472.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.