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Finding the Fourth Proportional to 12,238.78, 18,347.04 and 4,445.78

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Solution

The fourth proportional to 12,238.78, 18,347.04 and 4,445.78 is: 6,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.78 : 18,347.04 = 4,445.78 : x
  2. Step 2: Convert to fraction form
    12,238.78/18,347.04 = 4,445.78/x
  3. Step 3: Cross multiply
    12,238.78x = 18,347.04 × 4,445.78
  4. Step 4: Simplify right side
    12,238.78x = 81,566,903.49
  5. Step 5: Solve for x
    x = 81,566,903.49/12,238.78
  6. Step 6: Final answer
    x = 6,664.63

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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.