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Finding the Fourth Proportional to 16,238.34, 22,393.94 and 11,194.47

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Solution

The fourth proportional to 16,238.34, 22,393.94 and 11,194.47 is: 15,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.34 : 22,393.94 = 11,194.47 : x
  2. Step 2: Convert to fraction form
    16,238.34/22,393.94 = 11,194.47/x
  3. Step 3: Cross multiply
    16,238.34x = 22,393.94 × 11,194.47
  4. Step 4: Simplify right side
    16,238.34x = 250,688,233.54
  5. Step 5: Solve for x
    x = 250,688,233.54/16,238.34
  6. Step 6: Final answer
    x = 15,438.05

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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.