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Finding the Fourth Proportional to 21,649.14, 32,468.04 and 9,798.30

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Solution

The fourth proportional to 21,649.14, 32,468.04 and 9,798.30 is: 14,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.14 : 32,468.04 = 9,798.30 : x
  2. Step 2: Convert to fraction form
    21,649.14/32,468.04 = 9,798.30/x
  3. Step 3: Cross multiply
    21,649.14x = 32,468.04 × 9,798.30
  4. Step 4: Simplify right side
    21,649.14x = 318,131,596.33
  5. Step 5: Solve for x
    x = 318,131,596.33/21,649.14
  6. Step 6: Final answer
    x = 14,694.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.