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Finding the Fourth Proportional to 24,536.38, 33,864.62 and 14,464.22

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Solution

The fourth proportional to 24,536.38, 33,864.62 and 14,464.22 is: 19,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.38 : 33,864.62 = 14,464.22 : x
  2. Step 2: Convert to fraction form
    24,536.38/33,864.62 = 14,464.22/x
  3. Step 3: Cross multiply
    24,536.38x = 33,864.62 × 14,464.22
  4. Step 4: Simplify right side
    24,536.38x = 489,825,313.90
  5. Step 5: Solve for x
    x = 489,825,313.90/24,536.38
  6. Step 6: Final answer
    x = 19,963.23

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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.