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Finding the Fourth Proportional to 12,207.14, 18,313.14 and 5,187.14

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Solution

The fourth proportional to 12,207.14, 18,313.14 and 5,187.14 is: 7,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.14 : 18,313.14 = 5,187.14 : x
  2. Step 2: Convert to fraction form
    12,207.14/18,313.14 = 5,187.14/x
  3. Step 3: Cross multiply
    12,207.14x = 18,313.14 × 5,187.14
  4. Step 4: Simplify right side
    12,207.14x = 94,992,821.02
  5. Step 5: Solve for x
    x = 94,992,821.02/12,207.14
  6. Step 6: Final answer
    x = 7,781.74

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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.