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Finding the Fourth Proportional to 12,358.68, 18,532.26 and 7,166.04

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Solution

The fourth proportional to 12,358.68, 18,532.26 and 7,166.04 is: 10,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.68 : 18,532.26 = 7,166.04 : x
  2. Step 2: Convert to fraction form
    12,358.68/18,532.26 = 7,166.04/x
  3. Step 3: Cross multiply
    12,358.68x = 18,532.26 × 7,166.04
  4. Step 4: Simplify right side
    12,358.68x = 132,802,916.45
  5. Step 5: Solve for x
    x = 132,802,916.45/12,358.68
  6. Step 6: Final answer
    x = 10,745.72

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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.