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Finding the Fourth Proportional to 17,226.76, 23,737.86 and 16,297

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Solution

The fourth proportional to 17,226.76, 23,737.86 and 16,297 is: 22,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,226.76 : 23,737.86 = 16,297 : x
  2. Step 2: Convert to fraction form
    17,226.76/23,737.86 = 16,297/x
  3. Step 3: Cross multiply
    17,226.76x = 23,737.86 × 16,297
  4. Step 4: Simplify right side
    17,226.76x = 386,855,904.42
  5. Step 5: Solve for x
    x = 386,855,904.42/17,226.76
  6. Step 6: Final answer
    x = 22,456.68

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1.5x scale

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.