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Finding the Fourth Proportional to 12,182.69, 18,281.33 and 6,992.21

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Solution

The fourth proportional to 12,182.69, 18,281.33 and 6,992.21 is: 10,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.69 : 18,281.33 = 6,992.21 : x
  2. Step 2: Convert to fraction form
    12,182.69/18,281.33 = 6,992.21/x
  3. Step 3: Cross multiply
    12,182.69x = 18,281.33 × 6,992.21
  4. Step 4: Simplify right side
    12,182.69x = 127,826,898.44
  5. Step 5: Solve for x
    x = 127,826,898.44/12,182.69
  6. Step 6: Final answer
    x = 10,492.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.