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Finding the Fourth Proportional to 12,148.92, 18,182.22 and 7,471.89

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Solution

The fourth proportional to 12,148.92, 18,182.22 and 7,471.89 is: 11,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.92 : 18,182.22 = 7,471.89 : x
  2. Step 2: Convert to fraction form
    12,148.92/18,182.22 = 7,471.89/x
  3. Step 3: Cross multiply
    12,148.92x = 18,182.22 × 7,471.89
  4. Step 4: Simplify right side
    12,148.92x = 135,855,547.80
  5. Step 5: Solve for x
    x = 135,855,547.80/12,148.92
  6. Step 6: Final answer
    x = 11,182.52

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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.