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Finding the Fourth Proportional to 17,807.68, 26,697.12 and 7,427.20

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Solution

The fourth proportional to 17,807.68, 26,697.12 and 7,427.20 is: 11,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.68 : 26,697.12 = 7,427.20 : x
  2. Step 2: Convert to fraction form
    17,807.68/26,697.12 = 7,427.20/x
  3. Step 3: Cross multiply
    17,807.68x = 26,697.12 × 7,427.20
  4. Step 4: Simplify right side
    17,807.68x = 198,284,849.66
  5. Step 5: Solve for x
    x = 198,284,849.66/17,807.68
  6. Step 6: Final answer
    x = 11,134.79

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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.