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Finding the Fourth Proportional to 26,823.30, 40,234.99 and 9,293.13

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Solution

The fourth proportional to 26,823.30, 40,234.99 and 9,293.13 is: 13,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823.30 : 40,234.99 = 9,293.13 : x
  2. Step 2: Convert to fraction form
    26,823.30/40,234.99 = 9,293.13/x
  3. Step 3: Cross multiply
    26,823.30x = 40,234.99 × 9,293.13
  4. Step 4: Simplify right side
    26,823.30x = 373,908,992.62
  5. Step 5: Solve for x
    x = 373,908,992.62/26,823.30
  6. Step 6: Final answer
    x = 13,939.71

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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.