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Finding the Fourth Proportional to 20,186.40, 30,279.60 and 10,970.40

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Solution

The fourth proportional to 20,186.40, 30,279.60 and 10,970.40 is: 16,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.40 : 30,279.60 = 10,970.40 : x
  2. Step 2: Convert to fraction form
    20,186.40/30,279.60 = 10,970.40/x
  3. Step 3: Cross multiply
    20,186.40x = 30,279.60 × 10,970.40
  4. Step 4: Simplify right side
    20,186.40x = 332,179,323.84
  5. Step 5: Solve for x
    x = 332,179,323.84/20,186.40
  6. Step 6: Final answer
    x = 16,455.60

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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.