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Finding the Fourth Proportional to 21,645.65, 32,469.62 and 6,853.43

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Solution

The fourth proportional to 21,645.65, 32,469.62 and 6,853.43 is: 10,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645.65 : 32,469.62 = 6,853.43 : x
  2. Step 2: Convert to fraction form
    21,645.65/32,469.62 = 6,853.43/x
  3. Step 3: Cross multiply
    21,645.65x = 32,469.62 × 6,853.43
  4. Step 4: Simplify right side
    21,645.65x = 222,528,071.18
  5. Step 5: Solve for x
    x = 222,528,071.18/21,645.65
  6. Step 6: Final answer
    x = 10,280.50

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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.