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Finding the Fourth Proportional to 22,698.52, 34,018.95 and 10,205.20

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Solution

The fourth proportional to 22,698.52, 34,018.95 and 10,205.20 is: 15,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698.52 : 34,018.95 = 10,205.20 : x
  2. Step 2: Convert to fraction form
    22,698.52/34,018.95 = 10,205.20/x
  3. Step 3: Cross multiply
    22,698.52x = 34,018.95 × 10,205.20
  4. Step 4: Simplify right side
    22,698.52x = 347,170,188.54
  5. Step 5: Solve for x
    x = 347,170,188.54/22,698.52
  6. Step 6: Final answer
    x = 15,294.84

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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.