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Finding the Fourth Proportional to 22,584.42, 33,871.16 and 9,429.66

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Solution

The fourth proportional to 22,584.42, 33,871.16 and 9,429.66 is: 14,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.42 : 33,871.16 = 9,429.66 : x
  2. Step 2: Convert to fraction form
    22,584.42/33,871.16 = 9,429.66/x
  3. Step 3: Cross multiply
    22,584.42x = 33,871.16 × 9,429.66
  4. Step 4: Simplify right side
    22,584.42x = 319,393,522.61
  5. Step 5: Solve for x
    x = 319,393,522.61/22,584.42
  6. Step 6: Final answer
    x = 14,142.21

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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.