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Finding the Fourth Proportional to 14,586.53, 20,129.88 and 8,299.31

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Solution

The fourth proportional to 14,586.53, 20,129.88 and 8,299.31 is: 11,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.53 : 20,129.88 = 8,299.31 : x
  2. Step 2: Convert to fraction form
    14,586.53/20,129.88 = 8,299.31/x
  3. Step 3: Cross multiply
    14,586.53x = 20,129.88 × 8,299.31
  4. Step 4: Simplify right side
    14,586.53x = 167,064,072.89
  5. Step 5: Solve for x
    x = 167,064,072.89/14,586.53
  6. Step 6: Final answer
    x = 11,453.31

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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.