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Finding the Fourth Proportional to 12,430.96, 18,642.46 and 4,109.42

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Solution

The fourth proportional to 12,430.96, 18,642.46 and 4,109.42 is: 6,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.96 : 18,642.46 = 4,109.42 : x
  2. Step 2: Convert to fraction form
    12,430.96/18,642.46 = 4,109.42/x
  3. Step 3: Cross multiply
    12,430.96x = 18,642.46 × 4,109.42
  4. Step 4: Simplify right side
    12,430.96x = 76,609,697.97
  5. Step 5: Solve for x
    x = 76,609,697.97/12,430.96
  6. Step 6: Final answer
    x = 6,162.81

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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.