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Finding the Fourth Proportional to 12,284.16, 18,423.52 and 3,517.12

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Solution

The fourth proportional to 12,284.16, 18,423.52 and 3,517.12 is: 5,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.16 : 18,423.52 = 3,517.12 : x
  2. Step 2: Convert to fraction form
    12,284.16/18,423.52 = 3,517.12/x
  3. Step 3: Cross multiply
    12,284.16x = 18,423.52 × 3,517.12
  4. Step 4: Simplify right side
    12,284.16x = 64,797,730.66
  5. Step 5: Solve for x
    x = 64,797,730.66/12,284.16
  6. Step 6: Final answer
    x = 5,274.90

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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.