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Finding the Fourth Proportional to 16,226.94, 22,397.24 and 9,157.47

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Solution

The fourth proportional to 16,226.94, 22,397.24 and 9,157.47 is: 12,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.94 : 22,397.24 = 9,157.47 : x
  2. Step 2: Convert to fraction form
    16,226.94/22,397.24 = 9,157.47/x
  3. Step 3: Cross multiply
    16,226.94x = 22,397.24 × 9,157.47
  4. Step 4: Simplify right side
    16,226.94x = 205,102,053.38
  5. Step 5: Solve for x
    x = 205,102,053.38/16,226.94
  6. Step 6: Final answer
    x = 12,639.60

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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.