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Finding the Fourth Proportional to 17,764.10, 24,514.72 and 9,806.66

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Solution

The fourth proportional to 17,764.10, 24,514.72 and 9,806.66 is: 13,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.10 : 24,514.72 = 9,806.66 : x
  2. Step 2: Convert to fraction form
    17,764.10/24,514.72 = 9,806.66/x
  3. Step 3: Cross multiply
    17,764.10x = 24,514.72 × 9,806.66
  4. Step 4: Simplify right side
    17,764.10x = 240,407,524.04
  5. Step 5: Solve for x
    x = 240,407,524.04/17,764.10
  6. Step 6: Final answer
    x = 13,533.34

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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.