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Finding the Fourth Proportional to 21,694, 32,529.31 and 11,704.11

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Solution

The fourth proportional to 21,694, 32,529.31 and 11,704.11 is: 17,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694 : 32,529.31 = 11,704.11 : x
  2. Step 2: Convert to fraction form
    21,694/32,529.31 = 11,704.11/x
  3. Step 3: Cross multiply
    21,694x = 32,529.31 × 11,704.11
  4. Step 4: Simplify right side
    21,694x = 380,726,622.46
  5. Step 5: Solve for x
    x = 380,726,622.46/21,694
  6. Step 6: Final answer
    x = 17,549.86

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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.