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Finding the Fourth Proportional to 22,400.78, 30,913.50 and 12,974.80

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Solution

The fourth proportional to 22,400.78, 30,913.50 and 12,974.80 is: 17,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400.78 : 30,913.50 = 12,974.80 : x
  2. Step 2: Convert to fraction form
    22,400.78/30,913.50 = 12,974.80/x
  3. Step 3: Cross multiply
    22,400.78x = 30,913.50 × 12,974.80
  4. Step 4: Simplify right side
    22,400.78x = 401,096,479.80
  5. Step 5: Solve for x
    x = 401,096,479.80/22,400.78
  6. Step 6: Final answer
    x = 17,905.47

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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.