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Finding the Fourth Proportional to 21,617.38, 29,832.06 and 12,186.10

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Solution

The fourth proportional to 21,617.38, 29,832.06 and 12,186.10 is: 16,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.38 : 29,832.06 = 12,186.10 : x
  2. Step 2: Convert to fraction form
    21,617.38/29,832.06 = 12,186.10/x
  3. Step 3: Cross multiply
    21,617.38x = 29,832.06 × 12,186.10
  4. Step 4: Simplify right side
    21,617.38x = 363,536,466.37
  5. Step 5: Solve for x
    x = 363,536,466.37/21,617.38
  6. Step 6: Final answer
    x = 16,816.86

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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.