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Finding the Fourth Proportional to 12,169.60, 18,254.40 and 10,857.40

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Solution

The fourth proportional to 12,169.60, 18,254.40 and 10,857.40 is: 16,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.60 : 18,254.40 = 10,857.40 : x
  2. Step 2: Convert to fraction form
    12,169.60/18,254.40 = 10,857.40/x
  3. Step 3: Cross multiply
    12,169.60x = 18,254.40 × 10,857.40
  4. Step 4: Simplify right side
    12,169.60x = 198,195,322.56
  5. Step 5: Solve for x
    x = 198,195,322.56/12,169.60
  6. Step 6: Final answer
    x = 16,286.10

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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.