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Finding the Fourth Proportional to 13,682.93, 20,524.19 and 7,441.47

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Solution

The fourth proportional to 13,682.93, 20,524.19 and 7,441.47 is: 11,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.93 : 20,524.19 = 7,441.47 : x
  2. Step 2: Convert to fraction form
    13,682.93/20,524.19 = 7,441.47/x
  3. Step 3: Cross multiply
    13,682.93x = 20,524.19 × 7,441.47
  4. Step 4: Simplify right side
    13,682.93x = 152,730,106.95
  5. Step 5: Solve for x
    x = 152,730,106.95/13,682.93
  6. Step 6: Final answer
    x = 11,162.09

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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.