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Finding the Fourth Proportional to 13,128.96, 19,694.08 and 5,728

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Solution

The fourth proportional to 13,128.96, 19,694.08 and 5,728 is: 8,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.96 : 19,694.08 = 5,728 : x
  2. Step 2: Convert to fraction form
    13,128.96/19,694.08 = 5,728/x
  3. Step 3: Cross multiply
    13,128.96x = 19,694.08 × 5,728
  4. Step 4: Simplify right side
    13,128.96x = 112,807,690.24
  5. Step 5: Solve for x
    x = 112,807,690.24/13,128.96
  6. Step 6: Final answer
    x = 8,592.28

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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.