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Finding the Fourth Proportional to 12,134.93, 18,204.53 and 5,019.15

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Solution

The fourth proportional to 12,134.93, 18,204.53 and 5,019.15 is: 7,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.93 : 18,204.53 = 5,019.15 : x
  2. Step 2: Convert to fraction form
    12,134.93/18,204.53 = 5,019.15/x
  3. Step 3: Cross multiply
    12,134.93x = 18,204.53 × 5,019.15
  4. Step 4: Simplify right side
    12,134.93x = 91,371,235.75
  5. Step 5: Solve for x
    x = 91,371,235.75/12,134.93
  6. Step 6: Final answer
    x = 7,529.61

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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.