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Finding the Fourth Proportional to 22,842.96, 34,265.40 and 11,166

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Solution

The fourth proportional to 22,842.96, 34,265.40 and 11,166 is: 16,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.96 : 34,265.40 = 11,166 : x
  2. Step 2: Convert to fraction form
    22,842.96/34,265.40 = 11,166/x
  3. Step 3: Cross multiply
    22,842.96x = 34,265.40 × 11,166
  4. Step 4: Simplify right side
    22,842.96x = 382,607,456.40
  5. Step 5: Solve for x
    x = 382,607,456.40/22,842.96
  6. Step 6: Final answer
    x = 16,749.47

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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.