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Finding the Fourth Proportional to 12,284.31, 18,411.89 and 7,079.43

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Solution

The fourth proportional to 12,284.31, 18,411.89 and 7,079.43 is: 10,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.31 : 18,411.89 = 7,079.43 : x
  2. Step 2: Convert to fraction form
    12,284.31/18,411.89 = 7,079.43/x
  3. Step 3: Cross multiply
    12,284.31x = 18,411.89 × 7,079.43
  4. Step 4: Simplify right side
    12,284.31x = 130,345,651.03
  5. Step 5: Solve for x
    x = 130,345,651.03/12,284.31
  6. Step 6: Final answer
    x = 10,610.74

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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.