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Finding the Fourth Proportional to 16,216.88, 22,378.96 and 9,143.28

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Solution

The fourth proportional to 16,216.88, 22,378.96 and 9,143.28 is: 12,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.88 : 22,378.96 = 9,143.28 : x
  2. Step 2: Convert to fraction form
    16,216.88/22,378.96 = 9,143.28/x
  3. Step 3: Cross multiply
    16,216.88x = 22,378.96 × 9,143.28
  4. Step 4: Simplify right side
    16,216.88x = 204,617,097.39
  5. Step 5: Solve for x
    x = 204,617,097.39/16,216.88
  6. Step 6: Final answer
    x = 12,617.54

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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.