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Finding the Fourth Proportional to 14,768.50, 20,369.01 and 9,463.81

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Solution

The fourth proportional to 14,768.50, 20,369.01 and 9,463.81 is: 13,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.50 : 20,369.01 = 9,463.81 : x
  2. Step 2: Convert to fraction form
    14,768.50/20,369.01 = 9,463.81/x
  3. Step 3: Cross multiply
    14,768.50x = 20,369.01 × 9,463.81
  4. Step 4: Simplify right side
    14,768.50x = 192,768,427.80
  5. Step 5: Solve for x
    x = 192,768,427.80/14,768.50
  6. Step 6: Final answer
    x = 13,052.68

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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.