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Finding the Fourth Proportional to 21,752.97, 32,631.84 and 6,958.41

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Solution

The fourth proportional to 21,752.97, 32,631.84 and 6,958.41 is: 10,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.97 : 32,631.84 = 6,958.41 : x
  2. Step 2: Convert to fraction form
    21,752.97/32,631.84 = 6,958.41/x
  3. Step 3: Cross multiply
    21,752.97x = 32,631.84 × 6,958.41
  4. Step 4: Simplify right side
    21,752.97x = 227,065,721.77
  5. Step 5: Solve for x
    x = 227,065,721.77/21,752.97
  6. Step 6: Final answer
    x = 10,438.38

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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.