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Finding the Fourth Proportional to 12,889.50, 17,777.40 and 8,639.14

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Solution

The fourth proportional to 12,889.50, 17,777.40 and 8,639.14 is: 11,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.50 : 17,777.40 = 8,639.14 : x
  2. Step 2: Convert to fraction form
    12,889.50/17,777.40 = 8,639.14/x
  3. Step 3: Cross multiply
    12,889.50x = 17,777.40 × 8,639.14
  4. Step 4: Simplify right side
    12,889.50x = 153,581,447.44
  5. Step 5: Solve for x
    x = 153,581,447.44/12,889.50
  6. Step 6: Final answer
    x = 11,915.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.