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Finding the Fourth Proportional to 22,996.34, 34,497.24 and 8,207.36

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Solution

The fourth proportional to 22,996.34, 34,497.24 and 8,207.36 is: 12,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.34 : 34,497.24 = 8,207.36 : x
  2. Step 2: Convert to fraction form
    22,996.34/34,497.24 = 8,207.36/x
  3. Step 3: Cross multiply
    22,996.34x = 34,497.24 × 8,207.36
  4. Step 4: Simplify right side
    22,996.34x = 283,131,267.69
  5. Step 5: Solve for x
    x = 283,131,267.69/22,996.34
  6. Step 6: Final answer
    x = 12,312.01

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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.