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Finding the Fourth Proportional to 22,615.84, 33,923.52 and 10,132.96

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Solution

The fourth proportional to 22,615.84, 33,923.52 and 10,132.96 is: 15,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.84 : 33,923.52 = 10,132.96 : x
  2. Step 2: Convert to fraction form
    22,615.84/33,923.52 = 10,132.96/x
  3. Step 3: Cross multiply
    22,615.84x = 33,923.52 × 10,132.96
  4. Step 4: Simplify right side
    22,615.84x = 343,745,671.22
  5. Step 5: Solve for x
    x = 343,745,671.22/22,615.84
  6. Step 6: Final answer
    x = 15,199.33

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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.