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Finding the Fourth Proportional to 20,070.75, 27,695.39 and 11,116

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Solution

The fourth proportional to 20,070.75, 27,695.39 and 11,116 is: 15,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070.75 : 27,695.39 = 11,116 : x
  2. Step 2: Convert to fraction form
    20,070.75/27,695.39 = 11,116/x
  3. Step 3: Cross multiply
    20,070.75x = 27,695.39 × 11,116
  4. Step 4: Simplify right side
    20,070.75x = 307,861,955.24
  5. Step 5: Solve for x
    x = 307,861,955.24/20,070.75
  6. Step 6: Final answer
    x = 15,338.84

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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.