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Finding the Fourth Proportional to 13,887.80, 19,165.64 and 7,600.16

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Solution

The fourth proportional to 13,887.80, 19,165.64 and 7,600.16 is: 10,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.80 : 19,165.64 = 7,600.16 : x
  2. Step 2: Convert to fraction form
    13,887.80/19,165.64 = 7,600.16/x
  3. Step 3: Cross multiply
    13,887.80x = 19,165.64 × 7,600.16
  4. Step 4: Simplify right side
    13,887.80x = 145,661,930.50
  5. Step 5: Solve for x
    x = 145,661,930.50/13,887.80
  6. Step 6: Final answer
    x = 10,488.48

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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.