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Finding the Fourth Proportional to 17,205.95, 25,794.29 and 7,842.66

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Solution

The fourth proportional to 17,205.95, 25,794.29 and 7,842.66 is: 11,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.95 : 25,794.29 = 7,842.66 : x
  2. Step 2: Convert to fraction form
    17,205.95/25,794.29 = 7,842.66/x
  3. Step 3: Cross multiply
    17,205.95x = 25,794.29 × 7,842.66
  4. Step 4: Simplify right side
    17,205.95x = 202,295,807.20
  5. Step 5: Solve for x
    x = 202,295,807.20/17,205.95
  6. Step 6: Final answer
    x = 11,757.32

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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.