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Finding the Fourth Proportional to 22,141.10, 33,188.58 and 9,657.77

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Solution

The fourth proportional to 22,141.10, 33,188.58 and 9,657.77 is: 14,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.10 : 33,188.58 = 9,657.77 : x
  2. Step 2: Convert to fraction form
    22,141.10/33,188.58 = 9,657.77/x
  3. Step 3: Cross multiply
    22,141.10x = 33,188.58 × 9,657.77
  4. Step 4: Simplify right side
    22,141.10x = 320,527,672.27
  5. Step 5: Solve for x
    x = 320,527,672.27/22,141.10
  6. Step 6: Final answer
    x = 14,476.59

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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.