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Finding the Fourth Proportional to 20,521.77, 30,840.38 and 12,203.28

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Solution

The fourth proportional to 20,521.77, 30,840.38 and 12,203.28 is: 18,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.77 : 30,840.38 = 12,203.28 : x
  2. Step 2: Convert to fraction form
    20,521.77/30,840.38 = 12,203.28/x
  3. Step 3: Cross multiply
    20,521.77x = 30,840.38 × 12,203.28
  4. Step 4: Simplify right side
    20,521.77x = 376,353,731.43
  5. Step 5: Solve for x
    x = 376,353,731.43/20,521.77
  6. Step 6: Final answer
    x = 18,339.24

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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.