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Finding the Fourth Proportional to 26,032, 39,035.76 and 11,231.68

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Solution

The fourth proportional to 26,032, 39,035.76 and 11,231.68 is: 16,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,032 : 39,035.76 = 11,231.68 : x
  2. Step 2: Convert to fraction form
    26,032/39,035.76 = 11,231.68/x
  3. Step 3: Cross multiply
    26,032x = 39,035.76 × 11,231.68
  4. Step 4: Simplify right side
    26,032x = 438,437,164.88
  5. Step 5: Solve for x
    x = 438,437,164.88/26,032
  6. Step 6: Final answer
    x = 16,842.24

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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.