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Finding the Fourth Proportional to 21,494.34, 29,651.40 and 16,196.40

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Solution

The fourth proportional to 21,494.34, 29,651.40 and 16,196.40 is: 22,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.34 : 29,651.40 = 16,196.40 : x
  2. Step 2: Convert to fraction form
    21,494.34/29,651.40 = 16,196.40/x
  3. Step 3: Cross multiply
    21,494.34x = 29,651.40 × 16,196.40
  4. Step 4: Simplify right side
    21,494.34x = 480,245,934.96
  5. Step 5: Solve for x
    x = 480,245,934.96/21,494.34
  6. Step 6: Final answer
    x = 22,342.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.