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Finding the Fourth Proportional to 38,017.50, 57,033.84 and 11,721.12

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Solution

The fourth proportional to 38,017.50, 57,033.84 and 11,721.12 is: 17,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017.50 : 57,033.84 = 11,721.12 : x
  2. Step 2: Convert to fraction form
    38,017.50/57,033.84 = 11,721.12/x
  3. Step 3: Cross multiply
    38,017.50x = 57,033.84 × 11,721.12
  4. Step 4: Simplify right side
    38,017.50x = 668,500,482.70
  5. Step 5: Solve for x
    x = 668,500,482.70/38,017.50
  6. Step 6: Final answer
    x = 17,584.02

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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.