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Finding the Fourth Proportional to 21,865.82, 32,798.88 and 9,375.32

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Solution

The fourth proportional to 21,865.82, 32,798.88 and 9,375.32 is: 14,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.82 : 32,798.88 = 9,375.32 : x
  2. Step 2: Convert to fraction form
    21,865.82/32,798.88 = 9,375.32/x
  3. Step 3: Cross multiply
    21,865.82x = 32,798.88 × 9,375.32
  4. Step 4: Simplify right side
    21,865.82x = 307,499,836.04
  5. Step 5: Solve for x
    x = 307,499,836.04/21,865.82
  6. Step 6: Final answer
    x = 14,063.04

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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.