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Finding the Fourth Proportional to 18,287.10, 27,433.65 and 6,437.82

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Solution

The fourth proportional to 18,287.10, 27,433.65 and 6,437.82 is: 9,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.10 : 27,433.65 = 6,437.82 : x
  2. Step 2: Convert to fraction form
    18,287.10/27,433.65 = 6,437.82/x
  3. Step 3: Cross multiply
    18,287.10x = 27,433.65 × 6,437.82
  4. Step 4: Simplify right side
    18,287.10x = 176,612,900.64
  5. Step 5: Solve for x
    x = 176,612,900.64/18,287.10
  6. Step 6: Final answer
    x = 9,657.79

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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.