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Finding the Fourth Proportional to 21,909.77, 30,235.49 and 11,838.20

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Solution

The fourth proportional to 21,909.77, 30,235.49 and 11,838.20 is: 16,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.77 : 30,235.49 = 11,838.20 : x
  2. Step 2: Convert to fraction form
    21,909.77/30,235.49 = 11,838.20/x
  3. Step 3: Cross multiply
    21,909.77x = 30,235.49 × 11,838.20
  4. Step 4: Simplify right side
    21,909.77x = 357,933,567.35
  5. Step 5: Solve for x
    x = 357,933,567.35/21,909.77
  6. Step 6: Final answer
    x = 16,336.71

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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.