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Finding the Fourth Proportional to 22,107.69, 30,511.77 and 12,549.96

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Solution

The fourth proportional to 22,107.69, 30,511.77 and 12,549.96 is: 17,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.69 : 30,511.77 = 12,549.96 : x
  2. Step 2: Convert to fraction form
    22,107.69/30,511.77 = 12,549.96/x
  3. Step 3: Cross multiply
    22,107.69x = 30,511.77 × 12,549.96
  4. Step 4: Simplify right side
    22,107.69x = 382,921,493.03
  5. Step 5: Solve for x
    x = 382,921,493.03/22,107.69
  6. Step 6: Final answer
    x = 17,320.74

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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.