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Finding the Fourth Proportional to 13,463.41, 20,195.12 and 6,441.77

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Solution

The fourth proportional to 13,463.41, 20,195.12 and 6,441.77 is: 9,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.41 : 20,195.12 = 6,441.77 : x
  2. Step 2: Convert to fraction form
    13,463.41/20,195.12 = 6,441.77/x
  3. Step 3: Cross multiply
    13,463.41x = 20,195.12 × 6,441.77
  4. Step 4: Simplify right side
    13,463.41x = 130,092,384.75
  5. Step 5: Solve for x
    x = 130,092,384.75/13,463.41
  6. Step 6: Final answer
    x = 9,662.66

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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.