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Finding the Fourth Proportional to 18,202.78, 27,287.16 and 9,870.58

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Solution

The fourth proportional to 18,202.78, 27,287.16 and 9,870.58 is: 14,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.78 : 27,287.16 = 9,870.58 : x
  2. Step 2: Convert to fraction form
    18,202.78/27,287.16 = 9,870.58/x
  3. Step 3: Cross multiply
    18,202.78x = 27,287.16 × 9,870.58
  4. Step 4: Simplify right side
    18,202.78x = 269,340,095.75
  5. Step 5: Solve for x
    x = 269,340,095.75/18,202.78
  6. Step 6: Final answer
    x = 14,796.65

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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.