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Finding the Fourth Proportional to 11,927.77, 16,433.25 and 9,229.71

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Solution

The fourth proportional to 11,927.77, 16,433.25 and 9,229.71 is: 12,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.77 : 16,433.25 = 9,229.71 : x
  2. Step 2: Convert to fraction form
    11,927.77/16,433.25 = 9,229.71/x
  3. Step 3: Cross multiply
    11,927.77x = 16,433.25 × 9,229.71
  4. Step 4: Simplify right side
    11,927.77x = 151,674,085.71
  5. Step 5: Solve for x
    x = 151,674,085.71/11,927.77
  6. Step 6: Final answer
    x = 12,716.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.