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Finding the Fourth Proportional to 27,135.91, 40,709.72 and 8,415.57

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Solution

The fourth proportional to 27,135.91, 40,709.72 and 8,415.57 is: 12,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.91 : 40,709.72 = 8,415.57 : x
  2. Step 2: Convert to fraction form
    27,135.91/40,709.72 = 8,415.57/x
  3. Step 3: Cross multiply
    27,135.91x = 40,709.72 × 8,415.57
  4. Step 4: Simplify right side
    27,135.91x = 342,595,558.04
  5. Step 5: Solve for x
    x = 342,595,558.04/27,135.91
  6. Step 6: Final answer
    x = 12,625.17

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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.