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Finding the Fourth Proportional to 24,292.70, 33,532.32 and 14,224.38

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Solution

The fourth proportional to 24,292.70, 33,532.32 and 14,224.38 is: 19,634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.70 : 33,532.32 = 14,224.38 : x
  2. Step 2: Convert to fraction form
    24,292.70/33,532.32 = 14,224.38/x
  3. Step 3: Cross multiply
    24,292.70x = 33,532.32 × 14,224.38
  4. Step 4: Simplify right side
    24,292.70x = 476,976,461.96
  5. Step 5: Solve for x
    x = 476,976,461.96/24,292.70
  6. Step 6: Final answer
    x = 19,634.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.