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Finding the Fourth Proportional to 13,057.83, 19,593.93 and 5,662.36

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Solution

The fourth proportional to 13,057.83, 19,593.93 and 5,662.36 is: 8,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.83 : 19,593.93 = 5,662.36 : x
  2. Step 2: Convert to fraction form
    13,057.83/19,593.93 = 5,662.36/x
  3. Step 3: Cross multiply
    13,057.83x = 19,593.93 × 5,662.36
  4. Step 4: Simplify right side
    13,057.83x = 110,947,773.21
  5. Step 5: Solve for x
    x = 110,947,773.21/13,057.83
  6. Step 6: Final answer
    x = 8,496.65

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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.