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Finding the Fourth Proportional to 26,205.78, 36,053.73 and 21,678.42

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Solution

The fourth proportional to 26,205.78, 36,053.73 and 21,678.42 is: 29,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.78 : 36,053.73 = 21,678.42 : x
  2. Step 2: Convert to fraction form
    26,205.78/36,053.73 = 21,678.42/x
  3. Step 3: Cross multiply
    26,205.78x = 36,053.73 × 21,678.42
  4. Step 4: Simplify right side
    26,205.78x = 781,587,901.51
  5. Step 5: Solve for x
    x = 781,587,901.51/26,205.78
  6. Step 6: Final answer
    x = 29,825.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.