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Finding the Fourth Proportional to 21,657.72, 29,887.68 and 12,226.36

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Solution

The fourth proportional to 21,657.72, 29,887.68 and 12,226.36 is: 16,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.72 : 29,887.68 = 12,226.36 : x
  2. Step 2: Convert to fraction form
    21,657.72/29,887.68 = 12,226.36/x
  3. Step 3: Cross multiply
    21,657.72x = 29,887.68 × 12,226.36
  4. Step 4: Simplify right side
    21,657.72x = 365,417,535.24
  5. Step 5: Solve for x
    x = 365,417,535.24/21,657.72
  6. Step 6: Final answer
    x = 16,872.39

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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.