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Finding the Fourth Proportional to 12,282.09, 18,423.08 and 3,517

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Solution

The fourth proportional to 12,282.09, 18,423.08 and 3,517 is: 5,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.09 : 18,423.08 = 3,517 : x
  2. Step 2: Convert to fraction form
    12,282.09/18,423.08 = 3,517/x
  3. Step 3: Cross multiply
    12,282.09x = 18,423.08 × 3,517
  4. Step 4: Simplify right side
    12,282.09x = 64,793,954.78
  5. Step 5: Solve for x
    x = 64,793,954.78/12,282.09
  6. Step 6: Final answer
    x = 5,275.48

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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.