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Finding the Fourth Proportional to 26,617, 39,925.56 and 8,149

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Solution

The fourth proportional to 26,617, 39,925.56 and 8,149 is: 12,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,617 : 39,925.56 = 8,149 : x
  2. Step 2: Convert to fraction form
    26,617/39,925.56 = 8,149/x
  3. Step 3: Cross multiply
    26,617x = 39,925.56 × 8,149
  4. Step 4: Simplify right side
    26,617x = 325,353,388.44
  5. Step 5: Solve for x
    x = 325,353,388.44/26,617
  6. Step 6: Final answer
    x = 12,223.52

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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.