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Finding the Fourth Proportional to 12,207.68, 18,314.28 and 4,416.49

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Solution

The fourth proportional to 12,207.68, 18,314.28 and 4,416.49 is: 6,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.68 : 18,314.28 = 4,416.49 : x
  2. Step 2: Convert to fraction form
    12,207.68/18,314.28 = 4,416.49/x
  3. Step 3: Cross multiply
    12,207.68x = 18,314.28 × 4,416.49
  4. Step 4: Simplify right side
    12,207.68x = 80,884,720.82
  5. Step 5: Solve for x
    x = 80,884,720.82/12,207.68
  6. Step 6: Final answer
    x = 6,625.73

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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.