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Finding the Fourth Proportional to 12,542.91, 18,802.08 and 6,998.91

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Solution

The fourth proportional to 12,542.91, 18,802.08 and 6,998.91 is: 10,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.91 : 18,802.08 = 6,998.91 : x
  2. Step 2: Convert to fraction form
    12,542.91/18,802.08 = 6,998.91/x
  3. Step 3: Cross multiply
    12,542.91x = 18,802.08 × 6,998.91
  4. Step 4: Simplify right side
    12,542.91x = 131,594,065.73
  5. Step 5: Solve for x
    x = 131,594,065.73/12,542.91
  6. Step 6: Final answer
    x = 10,491.51

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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.