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Finding the Fourth Proportional to 24,626.72, 33,971.15 and 16,142.54

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Solution

The fourth proportional to 24,626.72, 33,971.15 and 16,142.54 is: 22,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,626.72 : 33,971.15 = 16,142.54 : x
  2. Step 2: Convert to fraction form
    24,626.72/33,971.15 = 16,142.54/x
  3. Step 3: Cross multiply
    24,626.72x = 33,971.15 × 16,142.54
  4. Step 4: Simplify right side
    24,626.72x = 548,380,518.22
  5. Step 5: Solve for x
    x = 548,380,518.22/24,626.72
  6. Step 6: Final answer
    x = 22,267.70

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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.