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Finding the Fourth Proportional to 16,264.63, 24,393.71 and 7,498.27

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Solution

The fourth proportional to 16,264.63, 24,393.71 and 7,498.27 is: 11,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.63 : 24,393.71 = 7,498.27 : x
  2. Step 2: Convert to fraction form
    16,264.63/24,393.71 = 7,498.27/x
  3. Step 3: Cross multiply
    16,264.63x = 24,393.71 × 7,498.27
  4. Step 4: Simplify right side
    16,264.63x = 182,910,586.39
  5. Step 5: Solve for x
    x = 182,910,586.39/16,264.63
  6. Step 6: Final answer
    x = 11,245.91

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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.