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Finding the Fourth Proportional to 23,734.57, 32,757.67 and 16,074.40

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Solution

The fourth proportional to 23,734.57, 32,757.67 and 16,074.40 is: 22,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734.57 : 32,757.67 = 16,074.40 : x
  2. Step 2: Convert to fraction form
    23,734.57/32,757.67 = 16,074.40/x
  3. Step 3: Cross multiply
    23,734.57x = 32,757.67 × 16,074.40
  4. Step 4: Simplify right side
    23,734.57x = 526,559,890.65
  5. Step 5: Solve for x
    x = 526,559,890.65/23,734.57
  6. Step 6: Final answer
    x = 22,185.36

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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.