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Finding the Fourth Proportional to 22,202.64, 30,641.08 and 12,771

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Solution

The fourth proportional to 22,202.64, 30,641.08 and 12,771 is: 17,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.64 : 30,641.08 = 12,771 : x
  2. Step 2: Convert to fraction form
    22,202.64/30,641.08 = 12,771/x
  3. Step 3: Cross multiply
    22,202.64x = 30,641.08 × 12,771
  4. Step 4: Simplify right side
    22,202.64x = 391,317,232.68
  5. Step 5: Solve for x
    x = 391,317,232.68/22,202.64
  6. Step 6: Final answer
    x = 17,624.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.