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Finding the Fourth Proportional to 13,355.40, 18,427.14 and 8,634

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Solution

The fourth proportional to 13,355.40, 18,427.14 and 8,634 is: 11,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,355.40 : 18,427.14 = 8,634 : x
  2. Step 2: Convert to fraction form
    13,355.40/18,427.14 = 8,634/x
  3. Step 3: Cross multiply
    13,355.40x = 18,427.14 × 8,634
  4. Step 4: Simplify right side
    13,355.40x = 159,099,926.76
  5. Step 5: Solve for x
    x = 159,099,926.76/13,355.40
  6. Step 6: Final answer
    x = 11,912.78

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Why These Related Problems?

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