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Finding the Fourth Proportional to 22,378.94, 33,566.21 and 7,586.11

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Solution

The fourth proportional to 22,378.94, 33,566.21 and 7,586.11 is: 11,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.94 : 33,566.21 = 7,586.11 : x
  2. Step 2: Convert to fraction form
    22,378.94/33,566.21 = 7,586.11/x
  3. Step 3: Cross multiply
    22,378.94x = 33,566.21 × 7,586.11
  4. Step 4: Simplify right side
    22,378.94x = 254,636,961.34
  5. Step 5: Solve for x
    x = 254,636,961.34/22,378.94
  6. Step 6: Final answer
    x = 11,378.42

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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.