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Finding the Fourth Proportional to 21,956.46, 32,938.13 and 7,161.96

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Solution

The fourth proportional to 21,956.46, 32,938.13 and 7,161.96 is: 10,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.46 : 32,938.13 = 7,161.96 : x
  2. Step 2: Convert to fraction form
    21,956.46/32,938.13 = 7,161.96/x
  3. Step 3: Cross multiply
    21,956.46x = 32,938.13 × 7,161.96
  4. Step 4: Simplify right side
    21,956.46x = 235,901,569.53
  5. Step 5: Solve for x
    x = 235,901,569.53/21,956.46
  6. Step 6: Final answer
    x = 10,744.06

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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.