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Finding the Fourth Proportional to 12,430.67, 18,649.32 and 5,412.18

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Solution

The fourth proportional to 12,430.67, 18,649.32 and 5,412.18 is: 8,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.67 : 18,649.32 = 5,412.18 : x
  2. Step 2: Convert to fraction form
    12,430.67/18,649.32 = 5,412.18/x
  3. Step 3: Cross multiply
    12,430.67x = 18,649.32 × 5,412.18
  4. Step 4: Simplify right side
    12,430.67x = 100,933,476.72
  5. Step 5: Solve for x
    x = 100,933,476.72/12,430.67
  6. Step 6: Final answer
    x = 8,119.72

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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.