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Finding the Fourth Proportional to 12,284.47, 18,426.71 and 3,519.42

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Solution

The fourth proportional to 12,284.47, 18,426.71 and 3,519.42 is: 5,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.47 : 18,426.71 = 3,519.42 : x
  2. Step 2: Convert to fraction form
    12,284.47/18,426.71 = 3,519.42/x
  3. Step 3: Cross multiply
    12,284.47x = 18,426.71 × 3,519.42
  4. Step 4: Simplify right side
    12,284.47x = 64,851,331.71
  5. Step 5: Solve for x
    x = 64,851,331.71/12,284.47
  6. Step 6: Final answer
    x = 5,279.13

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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.