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Finding the Fourth Proportional to 21,861.62, 32,794.44 and 9,378.83

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Solution

The fourth proportional to 21,861.62, 32,794.44 and 9,378.83 is: 14,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,861.62 : 32,794.44 = 9,378.83 : x
  2. Step 2: Convert to fraction form
    21,861.62/32,794.44 = 9,378.83/x
  3. Step 3: Cross multiply
    21,861.62x = 32,794.44 × 9,378.83
  4. Step 4: Simplify right side
    21,861.62x = 307,573,477.71
  5. Step 5: Solve for x
    x = 307,573,477.71/21,861.62
  6. Step 6: Final answer
    x = 14,069.11

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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.