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Finding the Fourth Proportional to 23,685.51, 35,530.16 and 13,825.79

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Solution

The fourth proportional to 23,685.51, 35,530.16 and 13,825.79 is: 20,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.51 : 35,530.16 = 13,825.79 : x
  2. Step 2: Convert to fraction form
    23,685.51/35,530.16 = 13,825.79/x
  3. Step 3: Cross multiply
    23,685.51x = 35,530.16 × 13,825.79
  4. Step 4: Simplify right side
    23,685.51x = 491,232,284.05
  5. Step 5: Solve for x
    x = 491,232,284.05/23,685.51
  6. Step 6: Final answer
    x = 20,739.78

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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.