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Finding the Fourth Proportional to 23,287.50, 32,144.85 and 13,855.86

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Solution

The fourth proportional to 23,287.50, 32,144.85 and 13,855.86 is: 19,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.50 : 32,144.85 = 13,855.86 : x
  2. Step 2: Convert to fraction form
    23,287.50/32,144.85 = 13,855.86/x
  3. Step 3: Cross multiply
    23,287.50x = 32,144.85 × 13,855.86
  4. Step 4: Simplify right side
    23,287.50x = 445,394,541.32
  5. Step 5: Solve for x
    x = 445,394,541.32/23,287.50
  6. Step 6: Final answer
    x = 19,125.91

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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.