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Finding the Fourth Proportional to 22,997.34, 34,498.74 and 8,208.36

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Solution

The fourth proportional to 22,997.34, 34,498.74 and 8,208.36 is: 12,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.34 : 34,498.74 = 8,208.36 : x
  2. Step 2: Convert to fraction form
    22,997.34/34,498.74 = 8,208.36/x
  3. Step 3: Cross multiply
    22,997.34x = 34,498.74 × 8,208.36
  4. Step 4: Simplify right side
    22,997.34x = 283,178,077.47
  5. Step 5: Solve for x
    x = 283,178,077.47/22,997.34
  6. Step 6: Final answer
    x = 12,313.51

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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.