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Finding the Fourth Proportional to 12,084.65, 18,127.84 and 5,057.59

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Solution

The fourth proportional to 12,084.65, 18,127.84 and 5,057.59 is: 7,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.65 : 18,127.84 = 5,057.59 : x
  2. Step 2: Convert to fraction form
    12,084.65/18,127.84 = 5,057.59/x
  3. Step 3: Cross multiply
    12,084.65x = 18,127.84 × 5,057.59
  4. Step 4: Simplify right side
    12,084.65x = 91,683,066.38
  5. Step 5: Solve for x
    x = 91,683,066.38/12,084.65
  6. Step 6: Final answer
    x = 7,586.74

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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.