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Finding the Fourth Proportional to 16,224.50, 22,394.59 and 9,511.58

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Solution

The fourth proportional to 16,224.50, 22,394.59 and 9,511.58 is: 13,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.50 : 22,394.59 = 9,511.58 : x
  2. Step 2: Convert to fraction form
    16,224.50/22,394.59 = 9,511.58/x
  3. Step 3: Cross multiply
    16,224.50x = 22,394.59 × 9,511.58
  4. Step 4: Simplify right side
    16,224.50x = 213,007,822.38
  5. Step 5: Solve for x
    x = 213,007,822.38/16,224.50
  6. Step 6: Final answer
    x = 13,128.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.