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Finding the Fourth Proportional to 16,200.21, 22,357.31 and 12,214.29

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Solution

The fourth proportional to 16,200.21, 22,357.31 and 12,214.29 is: 16,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.21 : 22,357.31 = 12,214.29 : x
  2. Step 2: Convert to fraction form
    16,200.21/22,357.31 = 12,214.29/x
  3. Step 3: Cross multiply
    16,200.21x = 22,357.31 × 12,214.29
  4. Step 4: Simplify right side
    16,200.21x = 273,078,586.71
  5. Step 5: Solve for x
    x = 273,078,586.71/16,200.21
  6. Step 6: Final answer
    x = 16,856.49

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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.