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Finding the Fourth Proportional to 20,192.56, 27,773 and 16,204.93

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Solution

The fourth proportional to 20,192.56, 27,773 and 16,204.93 is: 22,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.56 : 27,773 = 16,204.93 : x
  2. Step 2: Convert to fraction form
    20,192.56/27,773 = 16,204.93/x
  3. Step 3: Cross multiply
    20,192.56x = 27,773 × 16,204.93
  4. Step 4: Simplify right side
    20,192.56x = 450,059,520.89
  5. Step 5: Solve for x
    x = 450,059,520.89/20,192.56
  6. Step 6: Final answer
    x = 22,288.38

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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.