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Finding the Fourth Proportional to 12,419.61, 18,631.26 and 4,100.50

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Solution

The fourth proportional to 12,419.61, 18,631.26 and 4,100.50 is: 6,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.61 : 18,631.26 = 4,100.50 : x
  2. Step 2: Convert to fraction form
    12,419.61/18,631.26 = 4,100.50/x
  3. Step 3: Cross multiply
    12,419.61x = 18,631.26 × 4,100.50
  4. Step 4: Simplify right side
    12,419.61x = 76,397,481.63
  5. Step 5: Solve for x
    x = 76,397,481.63/12,419.61
  6. Step 6: Final answer
    x = 6,151.36

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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.