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Finding the Fourth Proportional to 13,908.85, 19,194.09 and 7,535.30

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Solution

The fourth proportional to 13,908.85, 19,194.09 and 7,535.30 is: 10,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.85 : 19,194.09 = 7,535.30 : x
  2. Step 2: Convert to fraction form
    13,908.85/19,194.09 = 7,535.30/x
  3. Step 3: Cross multiply
    13,908.85x = 19,194.09 × 7,535.30
  4. Step 4: Simplify right side
    13,908.85x = 144,633,092.73
  5. Step 5: Solve for x
    x = 144,633,092.73/13,908.85
  6. Step 6: Final answer
    x = 10,398.64

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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.