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Finding the Fourth Proportional to 12,467.51, 18,695.03 and 4,144.61

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Solution

The fourth proportional to 12,467.51, 18,695.03 and 4,144.61 is: 6,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.51 : 18,695.03 = 4,144.61 : x
  2. Step 2: Convert to fraction form
    12,467.51/18,695.03 = 4,144.61/x
  3. Step 3: Cross multiply
    12,467.51x = 18,695.03 × 4,144.61
  4. Step 4: Simplify right side
    12,467.51x = 77,483,494.09
  5. Step 5: Solve for x
    x = 77,483,494.09/12,467.51
  6. Step 6: Final answer
    x = 6,214.84

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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.