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Finding the Fourth Proportional to 18,204.78, 27,290.16 and 9,872.58

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Solution

The fourth proportional to 18,204.78, 27,290.16 and 9,872.58 is: 14,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.78 : 27,290.16 = 9,872.58 : x
  2. Step 2: Convert to fraction form
    18,204.78/27,290.16 = 9,872.58/x
  3. Step 3: Cross multiply
    18,204.78x = 27,290.16 × 9,872.58
  4. Step 4: Simplify right side
    18,204.78x = 269,424,287.81
  5. Step 5: Solve for x
    x = 269,424,287.81/18,204.78
  6. Step 6: Final answer
    x = 14,799.65

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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.