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Finding the Fourth Proportional to 14,556.92, 21,876.91 and 7,166.53

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Solution

The fourth proportional to 14,556.92, 21,876.91 and 7,166.53 is: 10,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.92 : 21,876.91 = 7,166.53 : x
  2. Step 2: Convert to fraction form
    14,556.92/21,876.91 = 7,166.53/x
  3. Step 3: Cross multiply
    14,556.92x = 21,876.91 × 7,166.53
  4. Step 4: Simplify right side
    14,556.92x = 156,781,438.35
  5. Step 5: Solve for x
    x = 156,781,438.35/14,556.92
  6. Step 6: Final answer
    x = 10,770.24

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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.