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Finding the Fourth Proportional to 27,113.94, 40,672.35 and 8,406.90

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Solution

The fourth proportional to 27,113.94, 40,672.35 and 8,406.90 is: 12,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,113.94 : 40,672.35 = 8,406.90 : x
  2. Step 2: Convert to fraction form
    27,113.94/40,672.35 = 8,406.90/x
  3. Step 3: Cross multiply
    27,113.94x = 40,672.35 × 8,406.90
  4. Step 4: Simplify right side
    27,113.94x = 341,928,379.22
  5. Step 5: Solve for x
    x = 341,928,379.22/27,113.94
  6. Step 6: Final answer
    x = 12,610.80

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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.