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Finding the Fourth Proportional to 21,478.92, 32,212.54 and 5,892.84

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Solution

The fourth proportional to 21,478.92, 32,212.54 and 5,892.84 is: 8,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.92 : 32,212.54 = 5,892.84 : x
  2. Step 2: Convert to fraction form
    21,478.92/32,212.54 = 5,892.84/x
  3. Step 3: Cross multiply
    21,478.92x = 32,212.54 × 5,892.84
  4. Step 4: Simplify right side
    21,478.92x = 189,823,344.21
  5. Step 5: Solve for x
    x = 189,823,344.21/21,478.92
  6. Step 6: Final answer
    x = 8,837.66

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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.