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Finding the Fourth Proportional to 20,838.42, 31,251.11 and 6,048.36

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Solution

The fourth proportional to 20,838.42, 31,251.11 and 6,048.36 is: 9,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.42 : 31,251.11 = 6,048.36 : x
  2. Step 2: Convert to fraction form
    20,838.42/31,251.11 = 6,048.36/x
  3. Step 3: Cross multiply
    20,838.42x = 31,251.11 × 6,048.36
  4. Step 4: Simplify right side
    20,838.42x = 189,017,933.44
  5. Step 5: Solve for x
    x = 189,017,933.44/20,838.42
  6. Step 6: Final answer
    x = 9,070.65

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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.