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Finding the Fourth Proportional to 17,766.09, 24,517.28 and 9,808.38

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Solution

The fourth proportional to 17,766.09, 24,517.28 and 9,808.38 is: 13,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.09 : 24,517.28 = 9,808.38 : x
  2. Step 2: Convert to fraction form
    17,766.09/24,517.28 = 9,808.38/x
  3. Step 3: Cross multiply
    17,766.09x = 24,517.28 × 9,808.38
  4. Step 4: Simplify right side
    17,766.09x = 240,474,798.81
  5. Step 5: Solve for x
    x = 240,474,798.81/17,766.09
  6. Step 6: Final answer
    x = 13,535.61

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Why These Related Problems?

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