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Finding the Fourth Proportional to 38,517.69, 57,719.70 and 17,464.17

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Solution

The fourth proportional to 38,517.69, 57,719.70 and 17,464.17 is: 26,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517.69 : 57,719.70 = 17,464.17 : x
  2. Step 2: Convert to fraction form
    38,517.69/57,719.70 = 17,464.17/x
  3. Step 3: Cross multiply
    38,517.69x = 57,719.70 × 17,464.17
  4. Step 4: Simplify right side
    38,517.69x = 1,008,026,653.15
  5. Step 5: Solve for x
    x = 1,008,026,653.15/38,517.69
  6. Step 6: Final answer
    x = 26,170.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.