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Finding the Fourth Proportional to 20,838.39, 31,263.05 and 8,356.15

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Solution

The fourth proportional to 20,838.39, 31,263.05 and 8,356.15 is: 12,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.39 : 31,263.05 = 8,356.15 : x
  2. Step 2: Convert to fraction form
    20,838.39/31,263.05 = 8,356.15/x
  3. Step 3: Cross multiply
    20,838.39x = 31,263.05 × 8,356.15
  4. Step 4: Simplify right side
    20,838.39x = 261,238,735.26
  5. Step 5: Solve for x
    x = 261,238,735.26/20,838.39
  6. Step 6: Final answer
    x = 12,536.42

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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.