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Finding the Fourth Proportional to 12,182.28, 16,812.54 and 7,148.22

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Solution

The fourth proportional to 12,182.28, 16,812.54 and 7,148.22 is: 9,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.28 : 16,812.54 = 7,148.22 : x
  2. Step 2: Convert to fraction form
    12,182.28/16,812.54 = 7,148.22/x
  3. Step 3: Cross multiply
    12,182.28x = 16,812.54 × 7,148.22
  4. Step 4: Simplify right side
    12,182.28x = 120,179,734.68
  5. Step 5: Solve for x
    x = 120,179,734.68/12,182.28
  6. Step 6: Final answer
    x = 9,865.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.