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Finding the Fourth Proportional to 21,967.92, 32,957.10 and 7,176.83

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Solution

The fourth proportional to 21,967.92, 32,957.10 and 7,176.83 is: 10,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.92 : 32,957.10 = 7,176.83 : x
  2. Step 2: Convert to fraction form
    21,967.92/32,957.10 = 7,176.83/x
  3. Step 3: Cross multiply
    21,967.92x = 32,957.10 × 7,176.83
  4. Step 4: Simplify right side
    21,967.92x = 236,527,339.21
  5. Step 5: Solve for x
    x = 236,527,339.21/21,967.92
  6. Step 6: Final answer
    x = 10,766.94

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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.