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Finding the Fourth Proportional to 12,149.30, 18,195.59 and 9,353.79

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Solution

The fourth proportional to 12,149.30, 18,195.59 and 9,353.79 is: 14,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.30 : 18,195.59 = 9,353.79 : x
  2. Step 2: Convert to fraction form
    12,149.30/18,195.59 = 9,353.79/x
  3. Step 3: Cross multiply
    12,149.30x = 18,195.59 × 9,353.79
  4. Step 4: Simplify right side
    12,149.30x = 170,197,681.02
  5. Step 5: Solve for x
    x = 170,197,681.02/12,149.30
  6. Step 6: Final answer
    x = 14,008.85

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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.