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Finding the Fourth Proportional to 23,896.91, 35,818.32 and 12,031.83

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Solution

The fourth proportional to 23,896.91, 35,818.32 and 12,031.83 is: 18,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.91 : 35,818.32 = 12,031.83 : x
  2. Step 2: Convert to fraction form
    23,896.91/35,818.32 = 12,031.83/x
  3. Step 3: Cross multiply
    23,896.91x = 35,818.32 × 12,031.83
  4. Step 4: Simplify right side
    23,896.91x = 430,959,937.13
  5. Step 5: Solve for x
    x = 430,959,937.13/23,896.91
  6. Step 6: Final answer
    x = 18,034.13

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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.