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Finding the Fourth Proportional to 17,766.72, 24,518.11 and 9,808.96

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Solution

The fourth proportional to 17,766.72, 24,518.11 and 9,808.96 is: 13,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.72 : 24,518.11 = 9,808.96 : x
  2. Step 2: Convert to fraction form
    17,766.72/24,518.11 = 9,808.96/x
  3. Step 3: Cross multiply
    17,766.72x = 24,518.11 × 9,808.96
  4. Step 4: Simplify right side
    17,766.72x = 240,497,160.27
  5. Step 5: Solve for x
    x = 240,497,160.27/17,766.72
  6. Step 6: Final answer
    x = 13,536.38

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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.