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Finding the Fourth Proportional to 12,149.84, 18,217.18 and 5,126.24

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Solution

The fourth proportional to 12,149.84, 18,217.18 and 5,126.24 is: 7,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.84 : 18,217.18 = 5,126.24 : x
  2. Step 2: Convert to fraction form
    12,149.84/18,217.18 = 5,126.24/x
  3. Step 3: Cross multiply
    12,149.84x = 18,217.18 × 5,126.24
  4. Step 4: Simplify right side
    12,149.84x = 93,385,636.80
  5. Step 5: Solve for x
    x = 93,385,636.80/12,149.84
  6. Step 6: Final answer
    x = 7,686.16

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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.