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Finding the Fourth Proportional to 12,467.82, 18,702.24 and 4,148.58

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Solution

The fourth proportional to 12,467.82, 18,702.24 and 4,148.58 is: 6,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.82 : 18,702.24 = 4,148.58 : x
  2. Step 2: Convert to fraction form
    12,467.82/18,702.24 = 4,148.58/x
  3. Step 3: Cross multiply
    12,467.82x = 18,702.24 × 4,148.58
  4. Step 4: Simplify right side
    12,467.82x = 77,587,738.82
  5. Step 5: Solve for x
    x = 77,587,738.82/12,467.82
  6. Step 6: Final answer
    x = 6,223.04

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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.