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Finding the Fourth Proportional to 12,176.46, 18,265.17 and 3,412.14

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Solution

The fourth proportional to 12,176.46, 18,265.17 and 3,412.14 is: 5,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.46 : 18,265.17 = 3,412.14 : x
  2. Step 2: Convert to fraction form
    12,176.46/18,265.17 = 3,412.14/x
  3. Step 3: Cross multiply
    12,176.46x = 18,265.17 × 3,412.14
  4. Step 4: Simplify right side
    12,176.46x = 62,323,317.16
  5. Step 5: Solve for x
    x = 62,323,317.16/12,176.46
  6. Step 6: Final answer
    x = 5,118.34

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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.