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Finding the Fourth Proportional to 26,387.64, 36,414.98 and 14,450.96

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Solution

The fourth proportional to 26,387.64, 36,414.98 and 14,450.96 is: 19,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,387.64 : 36,414.98 = 14,450.96 : x
  2. Step 2: Convert to fraction form
    26,387.64/36,414.98 = 14,450.96/x
  3. Step 3: Cross multiply
    26,387.64x = 36,414.98 × 14,450.96
  4. Step 4: Simplify right side
    26,387.64x = 526,231,419.38
  5. Step 5: Solve for x
    x = 526,231,419.38/26,387.64
  6. Step 6: Final answer
    x = 19,942.34

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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.