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Finding the Fourth Proportional to 13,704.66, 20,560.41 and 7,462.98

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Solution

The fourth proportional to 13,704.66, 20,560.41 and 7,462.98 is: 11,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.66 : 20,560.41 = 7,462.98 : x
  2. Step 2: Convert to fraction form
    13,704.66/20,560.41 = 7,462.98/x
  3. Step 3: Cross multiply
    13,704.66x = 20,560.41 × 7,462.98
  4. Step 4: Simplify right side
    13,704.66x = 153,441,928.62
  5. Step 5: Solve for x
    x = 153,441,928.62/13,704.66
  6. Step 6: Final answer
    x = 11,196.33

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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.