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Finding the Fourth Proportional to 13,755.86, 20,642 and 4,991.46

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Solution

The fourth proportional to 13,755.86, 20,642 and 4,991.46 is: 7,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.86 : 20,642 = 4,991.46 : x
  2. Step 2: Convert to fraction form
    13,755.86/20,642 = 4,991.46/x
  3. Step 3: Cross multiply
    13,755.86x = 20,642 × 4,991.46
  4. Step 4: Simplify right side
    13,755.86x = 103,033,717.32
  5. Step 5: Solve for x
    x = 103,033,717.32/13,755.86
  6. Step 6: Final answer
    x = 7,490.17

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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.