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Finding the Fourth Proportional to 12,467.88, 18,696.32 and 4,671.22

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Solution

The fourth proportional to 12,467.88, 18,696.32 and 4,671.22 is: 7,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.88 : 18,696.32 = 4,671.22 : x
  2. Step 2: Convert to fraction form
    12,467.88/18,696.32 = 4,671.22/x
  3. Step 3: Cross multiply
    12,467.88x = 18,696.32 × 4,671.22
  4. Step 4: Simplify right side
    12,467.88x = 87,334,623.91
  5. Step 5: Solve for x
    x = 87,334,623.91/12,467.88
  6. Step 6: Final answer
    x = 7,004.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.