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Finding the Fourth Proportional to 17,769.58, 24,522.02 and 9,811.82

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Solution

The fourth proportional to 17,769.58, 24,522.02 and 9,811.82 is: 13,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769.58 : 24,522.02 = 9,811.82 : x
  2. Step 2: Convert to fraction form
    17,769.58/24,522.02 = 9,811.82/x
  3. Step 3: Cross multiply
    17,769.58x = 24,522.02 × 9,811.82
  4. Step 4: Simplify right side
    17,769.58x = 240,605,646.28
  5. Step 5: Solve for x
    x = 240,605,646.28/17,769.58
  6. Step 6: Final answer
    x = 13,540.31

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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.