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Finding the Fourth Proportional to 17,711.25, 24,441.53 and 9,753.46

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Solution

The fourth proportional to 17,711.25, 24,441.53 and 9,753.46 is: 13,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.25 : 24,441.53 = 9,753.46 : x
  2. Step 2: Convert to fraction form
    17,711.25/24,441.53 = 9,753.46/x
  3. Step 3: Cross multiply
    17,711.25x = 24,441.53 × 9,753.46
  4. Step 4: Simplify right side
    17,711.25x = 238,389,375.32
  5. Step 5: Solve for x
    x = 238,389,375.32/17,711.25
  6. Step 6: Final answer
    x = 13,459.77

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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.