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Finding the Fourth Proportional to 12,127.65, 18,179.13 and 9,199.80

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Solution

The fourth proportional to 12,127.65, 18,179.13 and 9,199.80 is: 13,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.65 : 18,179.13 = 9,199.80 : x
  2. Step 2: Convert to fraction form
    12,127.65/18,179.13 = 9,199.80/x
  3. Step 3: Cross multiply
    12,127.65x = 18,179.13 × 9,199.80
  4. Step 4: Simplify right side
    12,127.65x = 167,244,360.17
  5. Step 5: Solve for x
    x = 167,244,360.17/12,127.65
  6. Step 6: Final answer
    x = 13,790.34

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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.