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Finding the Fourth Proportional to 23,786.14, 35,686.42 and 8,999.60

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Solution

The fourth proportional to 23,786.14, 35,686.42 and 8,999.60 is: 13,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.14 : 35,686.42 = 8,999.60 : x
  2. Step 2: Convert to fraction form
    23,786.14/35,686.42 = 8,999.60/x
  3. Step 3: Cross multiply
    23,786.14x = 35,686.42 × 8,999.60
  4. Step 4: Simplify right side
    23,786.14x = 321,163,505.43
  5. Step 5: Solve for x
    x = 321,163,505.43/23,786.14
  6. Step 6: Final answer
    x = 13,502.13

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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.