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Finding the Fourth Proportional to 12,149.33, 18,223.98 and 9,380.04

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Solution

The fourth proportional to 12,149.33, 18,223.98 and 9,380.04 is: 14,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.33 : 18,223.98 = 9,380.04 : x
  2. Step 2: Convert to fraction form
    12,149.33/18,223.98 = 9,380.04/x
  3. Step 3: Cross multiply
    12,149.33x = 18,223.98 × 9,380.04
  4. Step 4: Simplify right side
    12,149.33x = 170,941,661.36
  5. Step 5: Solve for x
    x = 170,941,661.36/12,149.33
  6. Step 6: Final answer
    x = 14,070.05

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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.