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Finding the Fourth Proportional to 20,350, 28,083.50 and 11,399.32

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Solution

The fourth proportional to 20,350, 28,083.50 and 11,399.32 is: 15,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,350 : 28,083.50 = 11,399.32 : x
  2. Step 2: Convert to fraction form
    20,350/28,083.50 = 11,399.32/x
  3. Step 3: Cross multiply
    20,350x = 28,083.50 × 11,399.32
  4. Step 4: Simplify right side
    20,350x = 320,132,803.22
  5. Step 5: Solve for x
    x = 320,132,803.22/20,350
  6. Step 6: Final answer
    x = 15,731.34

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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.