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Finding the Fourth Proportional to 21,891.63, 32,853.65 and 16,282.11

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Solution

The fourth proportional to 21,891.63, 32,853.65 and 16,282.11 is: 24,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.63 : 32,853.65 = 16,282.11 : x
  2. Step 2: Convert to fraction form
    21,891.63/32,853.65 = 16,282.11/x
  3. Step 3: Cross multiply
    21,891.63x = 32,853.65 × 16,282.11
  4. Step 4: Simplify right side
    21,891.63x = 534,926,743.20
  5. Step 5: Solve for x
    x = 534,926,743.20/21,891.63
  6. Step 6: Final answer
    x = 24,435.22

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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.