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Finding the Fourth Proportional to 12,430.41, 18,642.92 and 4,108.46

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Solution

The fourth proportional to 12,430.41, 18,642.92 and 4,108.46 is: 6,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.41 : 18,642.92 = 4,108.46 : x
  2. Step 2: Convert to fraction form
    12,430.41/18,642.92 = 4,108.46/x
  3. Step 3: Cross multiply
    12,430.41x = 18,642.92 × 4,108.46
  4. Step 4: Simplify right side
    12,430.41x = 76,593,577.35
  5. Step 5: Solve for x
    x = 76,593,577.35/12,430.41
  6. Step 6: Final answer
    x = 6,161.79

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