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Finding the Fourth Proportional to 26,116.83, 39,181.73 and 7,648.83

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Solution

The fourth proportional to 26,116.83, 39,181.73 and 7,648.83 is: 11,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,116.83 : 39,181.73 = 7,648.83 : x
  2. Step 2: Convert to fraction form
    26,116.83/39,181.73 = 7,648.83/x
  3. Step 3: Cross multiply
    26,116.83x = 39,181.73 × 7,648.83
  4. Step 4: Simplify right side
    26,116.83x = 299,694,353.63
  5. Step 5: Solve for x
    x = 299,694,353.63/26,116.83
  6. Step 6: Final answer
    x = 11,475.14

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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.