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Finding the Fourth Proportional to 38,013.66, 57,020.49 and 11,718.42

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Solution

The fourth proportional to 38,013.66, 57,020.49 and 11,718.42 is: 17,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.66 : 57,020.49 = 11,718.42 : x
  2. Step 2: Convert to fraction form
    38,013.66/57,020.49 = 11,718.42/x
  3. Step 3: Cross multiply
    38,013.66x = 57,020.49 × 11,718.42
  4. Step 4: Simplify right side
    38,013.66x = 668,190,050.43
  5. Step 5: Solve for x
    x = 668,190,050.43/38,013.66
  6. Step 6: Final answer
    x = 17,577.63

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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.