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Finding the Fourth Proportional to 26,536.28, 39,801.78 and 9,005.85

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Solution

The fourth proportional to 26,536.28, 39,801.78 and 9,005.85 is: 13,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536.28 : 39,801.78 = 9,005.85 : x
  2. Step 2: Convert to fraction form
    26,536.28/39,801.78 = 9,005.85/x
  3. Step 3: Cross multiply
    26,536.28x = 39,801.78 × 9,005.85
  4. Step 4: Simplify right side
    26,536.28x = 358,448,860.41
  5. Step 5: Solve for x
    x = 358,448,860.41/26,536.28
  6. Step 6: Final answer
    x = 13,507.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.