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Finding the Fourth Proportional to 14,777.81, 20,393.36 and 9,472.62

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Solution

The fourth proportional to 14,777.81, 20,393.36 and 9,472.62 is: 13,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.81 : 20,393.36 = 9,472.62 : x
  2. Step 2: Convert to fraction form
    14,777.81/20,393.36 = 9,472.62/x
  3. Step 3: Cross multiply
    14,777.81x = 20,393.36 × 9,472.62
  4. Step 4: Simplify right side
    14,777.81x = 193,178,549.80
  5. Step 5: Solve for x
    x = 193,178,549.80/14,777.81
  6. Step 6: Final answer
    x = 13,072.21

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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.