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Finding the Fourth Proportional to 20,388.92, 30,534.10 and 11,597.20

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Solution

The fourth proportional to 20,388.92, 30,534.10 and 11,597.20 is: 17,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388.92 : 30,534.10 = 11,597.20 : x
  2. Step 2: Convert to fraction form
    20,388.92/30,534.10 = 11,597.20/x
  3. Step 3: Cross multiply
    20,388.92x = 30,534.10 × 11,597.20
  4. Step 4: Simplify right side
    20,388.92x = 354,110,064.52
  5. Step 5: Solve for x
    x = 354,110,064.52/20,388.92
  6. Step 6: Final answer
    x = 17,367.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.