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Finding the Fourth Proportional to 17,767.54, 24,517.26 and 9,809.26

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Solution

The fourth proportional to 17,767.54, 24,517.26 and 9,809.26 is: 13,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.54 : 24,517.26 = 9,809.26 : x
  2. Step 2: Convert to fraction form
    17,767.54/24,517.26 = 9,809.26/x
  3. Step 3: Cross multiply
    17,767.54x = 24,517.26 × 9,809.26
  4. Step 4: Simplify right side
    17,767.54x = 240,496,177.83
  5. Step 5: Solve for x
    x = 240,496,177.83/17,767.54
  6. Step 6: Final answer
    x = 13,535.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.