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Finding the Fourth Proportional to 13,156, 18,163.38 and 8,448.58

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Solution

The fourth proportional to 13,156, 18,163.38 and 8,448.58 is: 11,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156 : 18,163.38 = 8,448.58 : x
  2. Step 2: Convert to fraction form
    13,156/18,163.38 = 8,448.58/x
  3. Step 3: Cross multiply
    13,156x = 18,163.38 × 8,448.58
  4. Step 4: Simplify right side
    13,156x = 153,454,769.00
  5. Step 5: Solve for x
    x = 153,454,769.00/13,156
  6. Step 6: Final answer
    x = 11,664.24

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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.