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Finding the Fourth Proportional to 13,385.86, 18,463.32 and 7,796.86

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Solution

The fourth proportional to 13,385.86, 18,463.32 and 7,796.86 is: 10,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.86 : 18,463.32 = 7,796.86 : x
  2. Step 2: Convert to fraction form
    13,385.86/18,463.32 = 7,796.86/x
  3. Step 3: Cross multiply
    13,385.86x = 18,463.32 × 7,796.86
  4. Step 4: Simplify right side
    13,385.86x = 143,955,921.18
  5. Step 5: Solve for x
    x = 143,955,921.18/13,385.86
  6. Step 6: Final answer
    x = 10,754.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.