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Finding the Fourth Proportional to 13,223.92, 19,817.52 and 5,817.28

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Solution

The fourth proportional to 13,223.92, 19,817.52 and 5,817.28 is: 8,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.92 : 19,817.52 = 5,817.28 : x
  2. Step 2: Convert to fraction form
    13,223.92/19,817.52 = 5,817.28/x
  3. Step 3: Cross multiply
    13,223.92x = 19,817.52 × 5,817.28
  4. Step 4: Simplify right side
    13,223.92x = 115,284,062.75
  5. Step 5: Solve for x
    x = 115,284,062.75/13,223.92
  6. Step 6: Final answer
    x = 8,717.84

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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.