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Finding the Fourth Proportional to 15,091.22, 22,636.73 and 8,209.46

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Solution

The fourth proportional to 15,091.22, 22,636.73 and 8,209.46 is: 12,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.22 : 22,636.73 = 8,209.46 : x
  2. Step 2: Convert to fraction form
    15,091.22/22,636.73 = 8,209.46/x
  3. Step 3: Cross multiply
    15,091.22x = 22,636.73 × 8,209.46
  4. Step 4: Simplify right side
    15,091.22x = 185,835,236.81
  5. Step 5: Solve for x
    x = 185,835,236.81/15,091.22
  6. Step 6: Final answer
    x = 12,314.13

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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.