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Finding the Fourth Proportional to 16,200.08, 22,357.14 and 12,214.16

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Solution

The fourth proportional to 16,200.08, 22,357.14 and 12,214.16 is: 16,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.08 : 22,357.14 = 12,214.16 : x
  2. Step 2: Convert to fraction form
    16,200.08/22,357.14 = 12,214.16/x
  3. Step 3: Cross multiply
    16,200.08x = 22,357.14 × 12,214.16
  4. Step 4: Simplify right side
    16,200.08x = 273,073,685.10
  5. Step 5: Solve for x
    x = 273,073,685.10/16,200.08
  6. Step 6: Final answer
    x = 16,856.32

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Why These Related Problems?

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