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Finding the Fourth Proportional to 14,586.81, 20,129.90 and 8,299.19

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Solution

The fourth proportional to 14,586.81, 20,129.90 and 8,299.19 is: 11,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.81 : 20,129.90 = 8,299.19 : x
  2. Step 2: Convert to fraction form
    14,586.81/20,129.90 = 8,299.19/x
  3. Step 3: Cross multiply
    14,586.81x = 20,129.90 × 8,299.19
  4. Step 4: Simplify right side
    14,586.81x = 167,061,864.78
  5. Step 5: Solve for x
    x = 167,061,864.78/14,586.81
  6. Step 6: Final answer
    x = 11,452.94

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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.