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Finding the Fourth Proportional to 12,341.92, 18,514.80 and 4,132

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Solution

The fourth proportional to 12,341.92, 18,514.80 and 4,132 is: 6,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.92 : 18,514.80 = 4,132 : x
  2. Step 2: Convert to fraction form
    12,341.92/18,514.80 = 4,132/x
  3. Step 3: Cross multiply
    12,341.92x = 18,514.80 × 4,132
  4. Step 4: Simplify right side
    12,341.92x = 76,503,153.60
  5. Step 5: Solve for x
    x = 76,503,153.60/12,341.92
  6. Step 6: Final answer
    x = 6,198.64

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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.