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Finding the Fourth Proportional to 16,212.68, 22,371.90 and 9,140.36

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Solution

The fourth proportional to 16,212.68, 22,371.90 and 9,140.36 is: 12,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.68 : 22,371.90 = 9,140.36 : x
  2. Step 2: Convert to fraction form
    16,212.68/22,371.90 = 9,140.36/x
  3. Step 3: Cross multiply
    16,212.68x = 22,371.90 × 9,140.36
  4. Step 4: Simplify right side
    16,212.68x = 204,487,219.88
  5. Step 5: Solve for x
    x = 204,487,219.88/16,212.68
  6. Step 6: Final answer
    x = 12,612.80

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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.