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Finding the Fourth Proportional to 12,586.36, 18,872.18 and 5,182.46

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Solution

The fourth proportional to 12,586.36, 18,872.18 and 5,182.46 is: 7,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.36 : 18,872.18 = 5,182.46 : x
  2. Step 2: Convert to fraction form
    12,586.36/18,872.18 = 5,182.46/x
  3. Step 3: Cross multiply
    12,586.36x = 18,872.18 × 5,182.46
  4. Step 4: Simplify right side
    12,586.36x = 97,804,292.05
  5. Step 5: Solve for x
    x = 97,804,292.05/12,586.36
  6. Step 6: Final answer
    x = 7,770.66

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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.