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Finding the Fourth Proportional to 17,719.30, 24,453.74 and 9,761.53

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Solution

The fourth proportional to 17,719.30, 24,453.74 and 9,761.53 is: 13,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.30 : 24,453.74 = 9,761.53 : x
  2. Step 2: Convert to fraction form
    17,719.30/24,453.74 = 9,761.53/x
  3. Step 3: Cross multiply
    17,719.30x = 24,453.74 × 9,761.53
  4. Step 4: Simplify right side
    17,719.30x = 238,705,794.35
  5. Step 5: Solve for x
    x = 238,705,794.35/17,719.30
  6. Step 6: Final answer
    x = 13,471.51

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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.