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Finding the Fourth Proportional to 13,142.81, 18,156.86 and 8,616.25

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Solution

The fourth proportional to 13,142.81, 18,156.86 and 8,616.25 is: 11,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.81 : 18,156.86 = 8,616.25 : x
  2. Step 2: Convert to fraction form
    13,142.81/18,156.86 = 8,616.25/x
  3. Step 3: Cross multiply
    13,142.81x = 18,156.86 × 8,616.25
  4. Step 4: Simplify right side
    13,142.81x = 156,443,975.73
  5. Step 5: Solve for x
    x = 156,443,975.73/13,142.81
  6. Step 6: Final answer
    x = 11,903.39

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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.