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Finding the Fourth Proportional to 22,671.60, 33,991.20 and 10,181.40

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Solution

The fourth proportional to 22,671.60, 33,991.20 and 10,181.40 is: 15,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.60 : 33,991.20 = 10,181.40 : x
  2. Step 2: Convert to fraction form
    22,671.60/33,991.20 = 10,181.40/x
  3. Step 3: Cross multiply
    22,671.60x = 33,991.20 × 10,181.40
  4. Step 4: Simplify right side
    22,671.60x = 346,078,003.68
  5. Step 5: Solve for x
    x = 346,078,003.68/22,671.60
  6. Step 6: Final answer
    x = 15,264.82

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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.