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Finding the Fourth Proportional to 22,609.16, 33,909.11 and 8,564.34

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Solution

The fourth proportional to 22,609.16, 33,909.11 and 8,564.34 is: 12,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.16 : 33,909.11 = 8,564.34 : x
  2. Step 2: Convert to fraction form
    22,609.16/33,909.11 = 8,564.34/x
  3. Step 3: Cross multiply
    22,609.16x = 33,909.11 × 8,564.34
  4. Step 4: Simplify right side
    22,609.16x = 290,409,104.32
  5. Step 5: Solve for x
    x = 290,409,104.32/22,609.16
  6. Step 6: Final answer
    x = 12,844.76

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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.