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Finding the Fourth Proportional to 17,766.93, 24,518.38 and 9,809.16

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Solution

The fourth proportional to 17,766.93, 24,518.38 and 9,809.16 is: 13,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.93 : 24,518.38 = 9,809.16 : x
  2. Step 2: Convert to fraction form
    17,766.93/24,518.38 = 9,809.16/x
  3. Step 3: Cross multiply
    17,766.93x = 24,518.38 × 9,809.16
  4. Step 4: Simplify right side
    17,766.93x = 240,504,675.59
  5. Step 5: Solve for x
    x = 240,504,675.59/17,766.93
  6. Step 6: Final answer
    x = 13,536.65

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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.