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Finding the Fourth Proportional to 12,200.16, 16,838.02 and 7,724.32

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Solution

The fourth proportional to 12,200.16, 16,838.02 and 7,724.32 is: 10,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.16 : 16,838.02 = 7,724.32 : x
  2. Step 2: Convert to fraction form
    12,200.16/16,838.02 = 7,724.32/x
  3. Step 3: Cross multiply
    12,200.16x = 16,838.02 × 7,724.32
  4. Step 4: Simplify right side
    12,200.16x = 130,062,335.17
  5. Step 5: Solve for x
    x = 130,062,335.17/12,200.16
  6. Step 6: Final answer
    x = 10,660.71

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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.