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Finding the Fourth Proportional to 21,956.66, 32,932.25 and 7,164.34

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Solution

The fourth proportional to 21,956.66, 32,932.25 and 7,164.34 is: 10,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.66 : 32,932.25 = 7,164.34 : x
  2. Step 2: Convert to fraction form
    21,956.66/32,932.25 = 7,164.34/x
  3. Step 3: Cross multiply
    21,956.66x = 32,932.25 × 7,164.34
  4. Step 4: Simplify right side
    21,956.66x = 235,937,835.97
  5. Step 5: Solve for x
    x = 235,937,835.97/21,956.66
  6. Step 6: Final answer
    x = 10,745.62

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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.