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Finding the Fourth Proportional to 12,207.49, 18,314 and 4,416.30

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Solution

The fourth proportional to 12,207.49, 18,314 and 4,416.30 is: 6,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.49 : 18,314 = 4,416.30 : x
  2. Step 2: Convert to fraction form
    12,207.49/18,314 = 4,416.30/x
  3. Step 3: Cross multiply
    12,207.49x = 18,314 × 4,416.30
  4. Step 4: Simplify right side
    12,207.49x = 80,880,118.20
  5. Step 5: Solve for x
    x = 80,880,118.20/12,207.49
  6. Step 6: Final answer
    x = 6,625.45

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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.