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Finding the Fourth Proportional to 17,764.97, 24,515.73 and 9,807.26

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Solution

The fourth proportional to 17,764.97, 24,515.73 and 9,807.26 is: 13,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.97 : 24,515.73 = 9,807.26 : x
  2. Step 2: Convert to fraction form
    17,764.97/24,515.73 = 9,807.26/x
  3. Step 3: Cross multiply
    17,764.97x = 24,515.73 × 9,807.26
  4. Step 4: Simplify right side
    17,764.97x = 240,432,015.62
  5. Step 5: Solve for x
    x = 240,432,015.62/17,764.97
  6. Step 6: Final answer
    x = 13,534.06

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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.