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Finding the Fourth Proportional to 22,431.72, 33,678.72 and 11,346.21

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Solution

The fourth proportional to 22,431.72, 33,678.72 and 11,346.21 is: 17,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.72 : 33,678.72 = 11,346.21 : x
  2. Step 2: Convert to fraction form
    22,431.72/33,678.72 = 11,346.21/x
  3. Step 3: Cross multiply
    22,431.72x = 33,678.72 × 11,346.21
  4. Step 4: Simplify right side
    22,431.72x = 382,125,829.65
  5. Step 5: Solve for x
    x = 382,125,829.65/22,431.72
  6. Step 6: Final answer
    x = 17,035.07

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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.