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Finding the Fourth Proportional to 38,008.17, 57,023.19 and 11,716.65

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Solution

The fourth proportional to 38,008.17, 57,023.19 and 11,716.65 is: 17,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008.17 : 57,023.19 = 11,716.65 : x
  2. Step 2: Convert to fraction form
    38,008.17/57,023.19 = 11,716.65/x
  3. Step 3: Cross multiply
    38,008.17x = 57,023.19 × 11,716.65
  4. Step 4: Simplify right side
    38,008.17x = 668,120,759.11
  5. Step 5: Solve for x
    x = 668,120,759.11/38,008.17
  6. Step 6: Final answer
    x = 17,578.35

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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.