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Finding the Fourth Proportional to 12,207.74, 18,314.34 and 5,187.98

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Solution

The fourth proportional to 12,207.74, 18,314.34 and 5,187.98 is: 7,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.74 : 18,314.34 = 5,187.98 : x
  2. Step 2: Convert to fraction form
    12,207.74/18,314.34 = 5,187.98/x
  3. Step 3: Cross multiply
    12,207.74x = 18,314.34 × 5,187.98
  4. Step 4: Simplify right side
    12,207.74x = 95,014,406.74
  5. Step 5: Solve for x
    x = 95,014,406.74/12,207.74
  6. Step 6: Final answer
    x = 7,783.13

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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.