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Finding the Fourth Proportional to 20,092.16, 30,150.88 and 7,780.16

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Solution

The fourth proportional to 20,092.16, 30,150.88 and 7,780.16 is: 11,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.16 : 30,150.88 = 7,780.16 : x
  2. Step 2: Convert to fraction form
    20,092.16/30,150.88 = 7,780.16/x
  3. Step 3: Cross multiply
    20,092.16x = 30,150.88 × 7,780.16
  4. Step 4: Simplify right side
    20,092.16x = 234,578,670.54
  5. Step 5: Solve for x
    x = 234,578,670.54/20,092.16
  6. Step 6: Final answer
    x = 11,675.13

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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.