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Finding the Fourth Proportional to 22,817.12, 34,225.88 and 8,026.15

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Solution

The fourth proportional to 22,817.12, 34,225.88 and 8,026.15 is: 12,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.12 : 34,225.88 = 8,026.15 : x
  2. Step 2: Convert to fraction form
    22,817.12/34,225.88 = 8,026.15/x
  3. Step 3: Cross multiply
    22,817.12x = 34,225.88 × 8,026.15
  4. Step 4: Simplify right side
    22,817.12x = 274,701,921.07
  5. Step 5: Solve for x
    x = 274,701,921.07/22,817.12
  6. Step 6: Final answer
    x = 12,039.29

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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.