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Finding the Fourth Proportional to 12,586.41, 18,842.70 and 8,825.15

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Solution

The fourth proportional to 12,586.41, 18,842.70 and 8,825.15 is: 13,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.41 : 18,842.70 = 8,825.15 : x
  2. Step 2: Convert to fraction form
    12,586.41/18,842.70 = 8,825.15/x
  3. Step 3: Cross multiply
    12,586.41x = 18,842.70 × 8,825.15
  4. Step 4: Simplify right side
    12,586.41x = 166,289,653.91
  5. Step 5: Solve for x
    x = 166,289,653.91/12,586.41
  6. Step 6: Final answer
    x = 13,211.84

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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.