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Finding the Fourth Proportional to 21,469.92, 32,199.04 and 5,883.84

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Solution

The fourth proportional to 21,469.92, 32,199.04 and 5,883.84 is: 8,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.92 : 32,199.04 = 5,883.84 : x
  2. Step 2: Convert to fraction form
    21,469.92/32,199.04 = 5,883.84/x
  3. Step 3: Cross multiply
    21,469.92x = 32,199.04 × 5,883.84
  4. Step 4: Simplify right side
    21,469.92x = 189,453,999.51
  5. Step 5: Solve for x
    x = 189,453,999.51/21,469.92
  6. Step 6: Final answer
    x = 8,824.16

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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.