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Finding the Fourth Proportional to 12,209.49, 18,320.90 and 5,636.34

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Solution

The fourth proportional to 12,209.49, 18,320.90 and 5,636.34 is: 8,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.49 : 18,320.90 = 5,636.34 : x
  2. Step 2: Convert to fraction form
    12,209.49/18,320.90 = 5,636.34/x
  3. Step 3: Cross multiply
    12,209.49x = 18,320.90 × 5,636.34
  4. Step 4: Simplify right side
    12,209.49x = 103,262,793.32
  5. Step 5: Solve for x
    x = 103,262,793.32/12,209.49
  6. Step 6: Final answer
    x = 8,457.58

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