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Finding the Fourth Proportional to 20,101.80, 30,152.70 and 9,733.80

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Solution

The fourth proportional to 20,101.80, 30,152.70 and 9,733.80 is: 14,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.80 : 30,152.70 = 9,733.80 : x
  2. Step 2: Convert to fraction form
    20,101.80/30,152.70 = 9,733.80/x
  3. Step 3: Cross multiply
    20,101.80x = 30,152.70 × 9,733.80
  4. Step 4: Simplify right side
    20,101.80x = 293,500,351.26
  5. Step 5: Solve for x
    x = 293,500,351.26/20,101.80
  6. Step 6: Final answer
    x = 14,600.70

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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.