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Finding the Fourth Proportional to 26,842.72, 40,264.08 and 7,122.82

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Solution

The fourth proportional to 26,842.72, 40,264.08 and 7,122.82 is: 10,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.72 : 40,264.08 = 7,122.82 : x
  2. Step 2: Convert to fraction form
    26,842.72/40,264.08 = 7,122.82/x
  3. Step 3: Cross multiply
    26,842.72x = 40,264.08 × 7,122.82
  4. Step 4: Simplify right side
    26,842.72x = 286,793,794.31
  5. Step 5: Solve for x
    x = 286,793,794.31/26,842.72
  6. Step 6: Final answer
    x = 10,684.23

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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.