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Finding the Fourth Proportional to 13,755.62, 18,982.86 and 7,468.00

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Solution

The fourth proportional to 13,755.62, 18,982.86 and 7,468.00 is: 10,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.62 : 18,982.86 = 7,468.00 : x
  2. Step 2: Convert to fraction form
    13,755.62/18,982.86 = 7,468.00/x
  3. Step 3: Cross multiply
    13,755.62x = 18,982.86 × 7,468.00
  4. Step 4: Simplify right side
    13,755.62x = 141,763,923.02
  5. Step 5: Solve for x
    x = 141,763,923.02/13,755.62
  6. Step 6: Final answer
    x = 10,305.89

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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.