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Finding the Fourth Proportional to 13,887.75, 19,165.11 and 7,600.14

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Solution

The fourth proportional to 13,887.75, 19,165.11 and 7,600.14 is: 10,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.75 : 19,165.11 = 7,600.14 : x
  2. Step 2: Convert to fraction form
    13,887.75/19,165.11 = 7,600.14/x
  3. Step 3: Cross multiply
    13,887.75x = 19,165.11 × 7,600.14
  4. Step 4: Simplify right side
    13,887.75x = 145,657,519.12
  5. Step 5: Solve for x
    x = 145,657,519.12/13,887.75
  6. Step 6: Final answer
    x = 10,488.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.