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Finding the Fourth Proportional to 23,853.72, 35,787 and 8,271.36

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Solution

The fourth proportional to 23,853.72, 35,787 and 8,271.36 is: 12,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.72 : 35,787 = 8,271.36 : x
  2. Step 2: Convert to fraction form
    23,853.72/35,787 = 8,271.36/x
  3. Step 3: Cross multiply
    23,853.72x = 35,787 × 8,271.36
  4. Step 4: Simplify right side
    23,853.72x = 296,007,160.32
  5. Step 5: Solve for x
    x = 296,007,160.32/23,853.72
  6. Step 6: Final answer
    x = 12,409.27

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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.