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Finding the Fourth Proportional to 24,271.92, 33,489.45 and 14,201.19

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Solution

The fourth proportional to 24,271.92, 33,489.45 and 14,201.19 is: 19,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.92 : 33,489.45 = 14,201.19 : x
  2. Step 2: Convert to fraction form
    24,271.92/33,489.45 = 14,201.19/x
  3. Step 3: Cross multiply
    24,271.92x = 33,489.45 × 14,201.19
  4. Step 4: Simplify right side
    24,271.92x = 475,590,042.45
  5. Step 5: Solve for x
    x = 475,590,042.45/24,271.92
  6. Step 6: Final answer
    x = 19,594.25

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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.