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Finding the Fourth Proportional to 22,747.84, 34,131.69 and 7,967.36

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Solution

The fourth proportional to 22,747.84, 34,131.69 and 7,967.36 is: 11,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747.84 : 34,131.69 = 7,967.36 : x
  2. Step 2: Convert to fraction form
    22,747.84/34,131.69 = 7,967.36/x
  3. Step 3: Cross multiply
    22,747.84x = 34,131.69 × 7,967.36
  4. Step 4: Simplify right side
    22,747.84x = 271,939,461.64
  5. Step 5: Solve for x
    x = 271,939,461.64/22,747.84
  6. Step 6: Final answer
    x = 11,954.52

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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.