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Finding the Fourth Proportional to 22,584.91, 33,871.92 and 9,430.15

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Solution

The fourth proportional to 22,584.91, 33,871.92 and 9,430.15 is: 14,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.91 : 33,871.92 = 9,430.15 : x
  2. Step 2: Convert to fraction form
    22,584.91/33,871.92 = 9,430.15/x
  3. Step 3: Cross multiply
    22,584.91x = 33,871.92 × 9,430.15
  4. Step 4: Simplify right side
    22,584.91x = 319,417,286.39
  5. Step 5: Solve for x
    x = 319,417,286.39/22,584.91
  6. Step 6: Final answer
    x = 14,142.95

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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.