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Finding the Fourth Proportional to 21,467.31, 32,205.51 and 6,474.88

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Solution

The fourth proportional to 21,467.31, 32,205.51 and 6,474.88 is: 9,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.31 : 32,205.51 = 6,474.88 : x
  2. Step 2: Convert to fraction form
    21,467.31/32,205.51 = 6,474.88/x
  3. Step 3: Cross multiply
    21,467.31x = 32,205.51 × 6,474.88
  4. Step 4: Simplify right side
    21,467.31x = 208,526,812.59
  5. Step 5: Solve for x
    x = 208,526,812.59/21,467.31
  6. Step 6: Final answer
    x = 9,713.69

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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.