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Finding the Fourth Proportional to 21,349.92, 32,022.72 and 5,765.76

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Solution

The fourth proportional to 21,349.92, 32,022.72 and 5,765.76 is: 8,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.92 : 32,022.72 = 5,765.76 : x
  2. Step 2: Convert to fraction form
    21,349.92/32,022.72 = 5,765.76/x
  3. Step 3: Cross multiply
    21,349.92x = 32,022.72 × 5,765.76
  4. Step 4: Simplify right side
    21,349.92x = 184,635,318.07
  5. Step 5: Solve for x
    x = 184,635,318.07/21,349.92
  6. Step 6: Final answer
    x = 8,648.06

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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.