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Finding the Fourth Proportional to 16,471.14, 22,724.55 and 9,392.46

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Solution

The fourth proportional to 16,471.14, 22,724.55 and 9,392.46 is: 12,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.14 : 22,724.55 = 9,392.46 : x
  2. Step 2: Convert to fraction form
    16,471.14/22,724.55 = 9,392.46/x
  3. Step 3: Cross multiply
    16,471.14x = 22,724.55 × 9,392.46
  4. Step 4: Simplify right side
    16,471.14x = 213,439,426.89
  5. Step 5: Solve for x
    x = 213,439,426.89/16,471.14
  6. Step 6: Final answer
    x = 12,958.39

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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.