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Finding the Fourth Proportional to 17,764.13, 24,514.02 and 9,806.18

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Solution

The fourth proportional to 17,764.13, 24,514.02 and 9,806.18 is: 13,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.13 : 24,514.02 = 9,806.18 : x
  2. Step 2: Convert to fraction form
    17,764.13/24,514.02 = 9,806.18/x
  3. Step 3: Cross multiply
    17,764.13x = 24,514.02 × 9,806.18
  4. Step 4: Simplify right side
    17,764.13x = 240,388,770.07
  5. Step 5: Solve for x
    x = 240,388,770.07/17,764.13
  6. Step 6: Final answer
    x = 13,532.26

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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.