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Finding the Fourth Proportional to 26,538.30, 36,604.71 and 21,814.38

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Solution

The fourth proportional to 26,538.30, 36,604.71 and 21,814.38 is: 30,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.30 : 36,604.71 = 21,814.38 : x
  2. Step 2: Convert to fraction form
    26,538.30/36,604.71 = 21,814.38/x
  3. Step 3: Cross multiply
    26,538.30x = 36,604.71 × 21,814.38
  4. Step 4: Simplify right side
    26,538.30x = 798,509,053.73
  5. Step 5: Solve for x
    x = 798,509,053.73/26,538.30
  6. Step 6: Final answer
    x = 30,088.93

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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.