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Finding the Fourth Proportional to 22,432.94, 30,733.24 and 21,592.16

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Solution

The fourth proportional to 22,432.94, 30,733.24 and 21,592.16 is: 29,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.94 : 30,733.24 = 21,592.16 : x
  2. Step 2: Convert to fraction form
    22,432.94/30,733.24 = 21,592.16/x
  3. Step 3: Cross multiply
    22,432.94x = 30,733.24 × 21,592.16
  4. Step 4: Simplify right side
    22,432.94x = 663,597,035.40
  5. Step 5: Solve for x
    x = 663,597,035.40/22,432.94
  6. Step 6: Final answer
    x = 29,581.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.