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Finding the Fourth Proportional to 23,853.51, 35,796.66 and 8,271.14

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Solution

The fourth proportional to 23,853.51, 35,796.66 and 8,271.14 is: 12,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.51 : 35,796.66 = 8,271.14 : x
  2. Step 2: Convert to fraction form
    23,853.51/35,796.66 = 8,271.14/x
  3. Step 3: Cross multiply
    23,853.51x = 35,796.66 × 8,271.14
  4. Step 4: Simplify right side
    23,853.51x = 296,079,007.41
  5. Step 5: Solve for x
    x = 296,079,007.41/23,853.51
  6. Step 6: Final answer
    x = 12,412.39

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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.