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Finding the Fourth Proportional to 12,149.70, 18,224.54 and 9,380.40

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Solution

The fourth proportional to 12,149.70, 18,224.54 and 9,380.40 is: 14,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.70 : 18,224.54 = 9,380.40 : x
  2. Step 2: Convert to fraction form
    12,149.70/18,224.54 = 9,380.40/x
  3. Step 3: Cross multiply
    12,149.70x = 18,224.54 × 9,380.40
  4. Step 4: Simplify right side
    12,149.70x = 170,953,475.02
  5. Step 5: Solve for x
    x = 170,953,475.02/12,149.70
  6. Step 6: Final answer
    x = 14,070.59

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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.