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Finding the Fourth Proportional to 15,205.01, 22,832.78 and 9,398.52

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Solution

The fourth proportional to 15,205.01, 22,832.78 and 9,398.52 is: 14,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.01 : 22,832.78 = 9,398.52 : x
  2. Step 2: Convert to fraction form
    15,205.01/22,832.78 = 9,398.52/x
  3. Step 3: Cross multiply
    15,205.01x = 22,832.78 × 9,398.52
  4. Step 4: Simplify right side
    15,205.01x = 214,594,292.49
  5. Step 5: Solve for x
    x = 214,594,292.49/15,205.01
  6. Step 6: Final answer
    x = 14,113.40

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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.