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Finding the Fourth Proportional to 22,432.68, 30,954.66 and 13,004.20

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Solution

The fourth proportional to 22,432.68, 30,954.66 and 13,004.20 is: 17,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.68 : 30,954.66 = 13,004.20 : x
  2. Step 2: Convert to fraction form
    22,432.68/30,954.66 = 13,004.20/x
  3. Step 3: Cross multiply
    22,432.68x = 30,954.66 × 13,004.20
  4. Step 4: Simplify right side
    22,432.68x = 402,540,589.57
  5. Step 5: Solve for x
    x = 402,540,589.57/22,432.68
  6. Step 6: Final answer
    x = 17,944.38

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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.