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Finding the Fourth Proportional to 13,887.38, 19,164.60 and 7,918.90

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Solution

The fourth proportional to 13,887.38, 19,164.60 and 7,918.90 is: 10,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.38 : 19,164.60 = 7,918.90 : x
  2. Step 2: Convert to fraction form
    13,887.38/19,164.60 = 7,918.90/x
  3. Step 3: Cross multiply
    13,887.38x = 19,164.60 × 7,918.90
  4. Step 4: Simplify right side
    13,887.38x = 151,762,503.03
  5. Step 5: Solve for x
    x = 151,762,503.03/13,887.38
  6. Step 6: Final answer
    x = 10,928.09

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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.