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Finding the Fourth Proportional to 12,376.80, 18,569.43 and 6,823.08

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Solution

The fourth proportional to 12,376.80, 18,569.43 and 6,823.08 is: 10,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.80 : 18,569.43 = 6,823.08 : x
  2. Step 2: Convert to fraction form
    12,376.80/18,569.43 = 6,823.08/x
  3. Step 3: Cross multiply
    12,376.80x = 18,569.43 × 6,823.08
  4. Step 4: Simplify right side
    12,376.80x = 126,700,706.44
  5. Step 5: Solve for x
    x = 126,700,706.44/12,376.80
  6. Step 6: Final answer
    x = 10,236.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.