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Finding the Fourth Proportional to 22,596.15, 33,909.88 and 7,805.19

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Solution

The fourth proportional to 22,596.15, 33,909.88 and 7,805.19 is: 11,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.15 : 33,909.88 = 7,805.19 : x
  2. Step 2: Convert to fraction form
    22,596.15/33,909.88 = 7,805.19/x
  3. Step 3: Cross multiply
    22,596.15x = 33,909.88 × 7,805.19
  4. Step 4: Simplify right side
    22,596.15x = 264,673,056.28
  5. Step 5: Solve for x
    x = 264,673,056.28/22,596.15
  6. Step 6: Final answer
    x = 11,713.19

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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.