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Finding the Fourth Proportional to 16,216.92, 22,364.42 and 10,238.20

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Solution

The fourth proportional to 16,216.92, 22,364.42 and 10,238.20 is: 14,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.92 : 22,364.42 = 10,238.20 : x
  2. Step 2: Convert to fraction form
    16,216.92/22,364.42 = 10,238.20/x
  3. Step 3: Cross multiply
    16,216.92x = 22,364.42 × 10,238.20
  4. Step 4: Simplify right side
    16,216.92x = 228,971,404.84
  5. Step 5: Solve for x
    x = 228,971,404.84/16,216.92
  6. Step 6: Final answer
    x = 14,119.29

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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.