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Finding the Fourth Proportional to 13,122.38, 18,141.28 and 12,571.58

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Solution

The fourth proportional to 13,122.38, 18,141.28 and 12,571.58 is: 17,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.38 : 18,141.28 = 12,571.58 : x
  2. Step 2: Convert to fraction form
    13,122.38/18,141.28 = 12,571.58/x
  3. Step 3: Cross multiply
    13,122.38x = 18,141.28 × 12,571.58
  4. Step 4: Simplify right side
    13,122.38x = 228,064,430.69
  5. Step 5: Solve for x
    x = 228,064,430.69/13,122.38
  6. Step 6: Final answer
    x = 17,379.81

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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.