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Finding the Fourth Proportional to 21,856.26, 32,817.12 and 12,506.82

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Solution

The fourth proportional to 21,856.26, 32,817.12 and 12,506.82 is: 18,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.26 : 32,817.12 = 12,506.82 : x
  2. Step 2: Convert to fraction form
    21,856.26/32,817.12 = 12,506.82/x
  3. Step 3: Cross multiply
    21,856.26x = 32,817.12 × 12,506.82
  4. Step 4: Simplify right side
    21,856.26x = 410,437,812.76
  5. Step 5: Solve for x
    x = 410,437,812.76/21,856.26
  6. Step 6: Final answer
    x = 18,778.96

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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.