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Finding the Fourth Proportional to 23,005.29, 34,515.22 and 8,213.88

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Solution

The fourth proportional to 23,005.29, 34,515.22 and 8,213.88 is: 12,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.29 : 34,515.22 = 8,213.88 : x
  2. Step 2: Convert to fraction form
    23,005.29/34,515.22 = 8,213.88/x
  3. Step 3: Cross multiply
    23,005.29x = 34,515.22 × 8,213.88
  4. Step 4: Simplify right side
    23,005.29x = 283,503,875.25
  5. Step 5: Solve for x
    x = 283,503,875.25/23,005.29
  6. Step 6: Final answer
    x = 12,323.42

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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.