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Finding the Fourth Proportional to 24,202.50, 33,402.68 and 14,650.10

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Solution

The fourth proportional to 24,202.50, 33,402.68 and 14,650.10 is: 20,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.50 : 33,402.68 = 14,650.10 : x
  2. Step 2: Convert to fraction form
    24,202.50/33,402.68 = 14,650.10/x
  3. Step 3: Cross multiply
    24,202.50x = 33,402.68 × 14,650.10
  4. Step 4: Simplify right side
    24,202.50x = 489,352,542.20
  5. Step 5: Solve for x
    x = 489,352,542.20/24,202.50
  6. Step 6: Final answer
    x = 20,219.09

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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.