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Finding the Fourth Proportional to 21,657.38, 29,887.18 and 12,226.55

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Solution

The fourth proportional to 21,657.38, 29,887.18 and 12,226.55 is: 16,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.38 : 29,887.18 = 12,226.55 : x
  2. Step 2: Convert to fraction form
    21,657.38/29,887.18 = 12,226.55/x
  3. Step 3: Cross multiply
    21,657.38x = 29,887.18 × 12,226.55
  4. Step 4: Simplify right side
    21,657.38x = 365,416,920.63
  5. Step 5: Solve for x
    x = 365,416,920.63/21,657.38
  6. Step 6: Final answer
    x = 16,872.63

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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.