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Finding the Fourth Proportional to 22,801.14, 34,205.14 and 8,007.46

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Solution

The fourth proportional to 22,801.14, 34,205.14 and 8,007.46 is: 12,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.14 : 34,205.14 = 8,007.46 : x
  2. Step 2: Convert to fraction form
    22,801.14/34,205.14 = 8,007.46/x
  3. Step 3: Cross multiply
    22,801.14x = 34,205.14 × 8,007.46
  4. Step 4: Simplify right side
    22,801.14x = 273,896,290.34
  5. Step 5: Solve for x
    x = 273,896,290.34/22,801.14
  6. Step 6: Final answer
    x = 12,012.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.