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Finding the Fourth Proportional to 22,782.25, 34,188.56 and 8,753.86

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Solution

The fourth proportional to 22,782.25, 34,188.56 and 8,753.86 is: 13,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.25 : 34,188.56 = 8,753.86 : x
  2. Step 2: Convert to fraction form
    22,782.25/34,188.56 = 8,753.86/x
  3. Step 3: Cross multiply
    22,782.25x = 34,188.56 × 8,753.86
  4. Step 4: Simplify right side
    22,782.25x = 299,281,867.84
  5. Step 5: Solve for x
    x = 299,281,867.84/22,782.25
  6. Step 6: Final answer
    x = 13,136.62

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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.