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Finding the Fourth Proportional to 26,962.86, 40,443.06 and 7,241.38

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Solution

The fourth proportional to 26,962.86, 40,443.06 and 7,241.38 is: 10,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,962.86 : 40,443.06 = 7,241.38 : x
  2. Step 2: Convert to fraction form
    26,962.86/40,443.06 = 7,241.38/x
  3. Step 3: Cross multiply
    26,962.86x = 40,443.06 × 7,241.38
  4. Step 4: Simplify right side
    26,962.86x = 292,863,565.82
  5. Step 5: Solve for x
    x = 292,863,565.82/26,962.86
  6. Step 6: Final answer
    x = 10,861.74

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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.