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Finding the Fourth Proportional to 22,643.92, 33,933.12 and 16,083.28

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Solution

The fourth proportional to 22,643.92, 33,933.12 and 16,083.28 is: 24,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.92 : 33,933.12 = 16,083.28 : x
  2. Step 2: Convert to fraction form
    22,643.92/33,933.12 = 16,083.28/x
  3. Step 3: Cross multiply
    22,643.92x = 33,933.12 × 16,083.28
  4. Step 4: Simplify right side
    22,643.92x = 545,755,870.23
  5. Step 5: Solve for x
    x = 545,755,870.23/22,643.92
  6. Step 6: Final answer
    x = 24,101.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.