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Finding the Fourth Proportional to 22,188.26, 30,611.95 and 14,234.78

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Solution

The fourth proportional to 22,188.26, 30,611.95 and 14,234.78 is: 19,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,188.26 : 30,611.95 = 14,234.78 : x
  2. Step 2: Convert to fraction form
    22,188.26/30,611.95 = 14,234.78/x
  3. Step 3: Cross multiply
    22,188.26x = 30,611.95 × 14,234.78
  4. Step 4: Simplify right side
    22,188.26x = 435,754,184.97
  5. Step 5: Solve for x
    x = 435,754,184.97/22,188.26
  6. Step 6: Final answer
    x = 19,638.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.