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Finding the Fourth Proportional to 26,425.68, 39,642.62 and 8,894.14

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Solution

The fourth proportional to 26,425.68, 39,642.62 and 8,894.14 is: 13,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,425.68 : 39,642.62 = 8,894.14 : x
  2. Step 2: Convert to fraction form
    26,425.68/39,642.62 = 8,894.14/x
  3. Step 3: Cross multiply
    26,425.68x = 39,642.62 × 8,894.14
  4. Step 4: Simplify right side
    26,425.68x = 352,587,012.25
  5. Step 5: Solve for x
    x = 352,587,012.25/26,425.68
  6. Step 6: Final answer
    x = 13,342.59

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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.