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Finding the Fourth Proportional to 13,699.64, 20,530.56 and 7,843.88

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Solution

The fourth proportional to 13,699.64, 20,530.56 and 7,843.88 is: 11,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.64 : 20,530.56 = 7,843.88 : x
  2. Step 2: Convert to fraction form
    13,699.64/20,530.56 = 7,843.88/x
  3. Step 3: Cross multiply
    13,699.64x = 20,530.56 × 7,843.88
  4. Step 4: Simplify right side
    13,699.64x = 161,039,248.97
  5. Step 5: Solve for x
    x = 161,039,248.97/13,699.64
  6. Step 6: Final answer
    x = 11,755.00

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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.