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Finding the Fourth Proportional to 17,728.79, 26,598.11 and 7,734.41

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Solution

The fourth proportional to 17,728.79, 26,598.11 and 7,734.41 is: 11,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.79 : 26,598.11 = 7,734.41 : x
  2. Step 2: Convert to fraction form
    17,728.79/26,598.11 = 7,734.41/x
  3. Step 3: Cross multiply
    17,728.79x = 26,598.11 × 7,734.41
  4. Step 4: Simplify right side
    17,728.79x = 205,720,687.97
  5. Step 5: Solve for x
    x = 205,720,687.97/17,728.79
  6. Step 6: Final answer
    x = 11,603.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.