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Finding the Fourth Proportional to 26,289.96, 39,432.38 and 7,822.12

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Solution

The fourth proportional to 26,289.96, 39,432.38 and 7,822.12 is: 11,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289.96 : 39,432.38 = 7,822.12 : x
  2. Step 2: Convert to fraction form
    26,289.96/39,432.38 = 7,822.12/x
  3. Step 3: Cross multiply
    26,289.96x = 39,432.38 × 7,822.12
  4. Step 4: Simplify right side
    26,289.96x = 308,444,808.25
  5. Step 5: Solve for x
    x = 308,444,808.25/26,289.96
  6. Step 6: Final answer
    x = 11,732.42

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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.