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Finding the Fourth Proportional to 27,999.83, 42,007.95 and 8,278.90

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Solution

The fourth proportional to 27,999.83, 42,007.95 and 8,278.90 is: 12,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999.83 : 42,007.95 = 8,278.90 : x
  2. Step 2: Convert to fraction form
    27,999.83/42,007.95 = 8,278.90/x
  3. Step 3: Cross multiply
    27,999.83x = 42,007.95 × 8,278.90
  4. Step 4: Simplify right side
    27,999.83x = 347,779,596.56
  5. Step 5: Solve for x
    x = 347,779,596.56/27,999.83
  6. Step 6: Final answer
    x = 12,420.78

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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.