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Finding the Fourth Proportional to 23,800.96, 32,987.80 and 23,358.40

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Solution

The fourth proportional to 23,800.96, 32,987.80 and 23,358.40 is: 32,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.96 : 32,987.80 = 23,358.40 : x
  2. Step 2: Convert to fraction form
    23,800.96/32,987.80 = 23,358.40/x
  3. Step 3: Cross multiply
    23,800.96x = 32,987.80 × 23,358.40
  4. Step 4: Simplify right side
    23,800.96x = 770,542,227.52
  5. Step 5: Solve for x
    x = 770,542,227.52/23,800.96
  6. Step 6: Final answer
    x = 32,374.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.