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Finding the Fourth Proportional to 13,817.38, 19,070.48 and 8,151.80

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Solution

The fourth proportional to 13,817.38, 19,070.48 and 8,151.80 is: 11,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.38 : 19,070.48 = 8,151.80 : x
  2. Step 2: Convert to fraction form
    13,817.38/19,070.48 = 8,151.80/x
  3. Step 3: Cross multiply
    13,817.38x = 19,070.48 × 8,151.80
  4. Step 4: Simplify right side
    13,817.38x = 155,458,738.86
  5. Step 5: Solve for x
    x = 155,458,738.86/13,817.38
  6. Step 6: Final answer
    x = 11,250.96

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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.