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Finding the Fourth Proportional to 13,035.20, 19,565.82 and 7,194.56

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Solution

The fourth proportional to 13,035.20, 19,565.82 and 7,194.56 is: 10,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.20 : 19,565.82 = 7,194.56 : x
  2. Step 2: Convert to fraction form
    13,035.20/19,565.82 = 7,194.56/x
  3. Step 3: Cross multiply
    13,035.20x = 19,565.82 × 7,194.56
  4. Step 4: Simplify right side
    13,035.20x = 140,767,465.94
  5. Step 5: Solve for x
    x = 140,767,465.94/13,035.20
  6. Step 6: Final answer
    x = 10,799.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.