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Finding the Fourth Proportional to 21,646.62, 32,468.10 and 6,853.38

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Solution

The fourth proportional to 21,646.62, 32,468.10 and 6,853.38 is: 10,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.62 : 32,468.10 = 6,853.38 : x
  2. Step 2: Convert to fraction form
    21,646.62/32,468.10 = 6,853.38/x
  3. Step 3: Cross multiply
    21,646.62x = 32,468.10 × 6,853.38
  4. Step 4: Simplify right side
    21,646.62x = 222,516,227.18
  5. Step 5: Solve for x
    x = 222,516,227.18/21,646.62
  6. Step 6: Final answer
    x = 10,279.49

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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.