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Finding the Fourth Proportional to 21,641.22, 29,864.84 and 12,209.72

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Solution

The fourth proportional to 21,641.22, 29,864.84 and 12,209.72 is: 16,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.22 : 29,864.84 = 12,209.72 : x
  2. Step 2: Convert to fraction form
    21,641.22/29,864.84 = 12,209.72/x
  3. Step 3: Cross multiply
    21,641.22x = 29,864.84 × 12,209.72
  4. Step 4: Simplify right side
    21,641.22x = 364,641,123.87
  5. Step 5: Solve for x
    x = 364,641,123.87/21,641.22
  6. Step 6: Final answer
    x = 16,849.38

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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.