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Finding the Fourth Proportional to 17,764.46, 24,514.29 and 9,806.54

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Solution

The fourth proportional to 17,764.46, 24,514.29 and 9,806.54 is: 13,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.46 : 24,514.29 = 9,806.54 : x
  2. Step 2: Convert to fraction form
    17,764.46/24,514.29 = 9,806.54/x
  3. Step 3: Cross multiply
    17,764.46x = 24,514.29 × 9,806.54
  4. Step 4: Simplify right side
    17,764.46x = 240,400,365.46
  5. Step 5: Solve for x
    x = 240,400,365.46/17,764.46
  6. Step 6: Final answer
    x = 13,532.66

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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.