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Finding the Fourth Proportional to 20,102.70, 27,758.16 and 13,041.12

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Solution

The fourth proportional to 20,102.70, 27,758.16 and 13,041.12 is: 18,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.70 : 27,758.16 = 13,041.12 : x
  2. Step 2: Convert to fraction form
    20,102.70/27,758.16 = 13,041.12/x
  3. Step 3: Cross multiply
    20,102.70x = 27,758.16 × 13,041.12
  4. Step 4: Simplify right side
    20,102.70x = 361,997,495.54
  5. Step 5: Solve for x
    x = 361,997,495.54/20,102.70
  6. Step 6: Final answer
    x = 18,007.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.