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Finding the Fourth Proportional to 17,719.37, 24,451.82 and 9,761.42

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Solution

The fourth proportional to 17,719.37, 24,451.82 and 9,761.42 is: 13,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.37 : 24,451.82 = 9,761.42 : x
  2. Step 2: Convert to fraction form
    17,719.37/24,451.82 = 9,761.42/x
  3. Step 3: Cross multiply
    17,719.37x = 24,451.82 × 9,761.42
  4. Step 4: Simplify right side
    17,719.37x = 238,684,313.72
  5. Step 5: Solve for x
    x = 238,684,313.72/17,719.37
  6. Step 6: Final answer
    x = 13,470.25

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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.