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Finding the Fourth Proportional to 14,948.67, 20,629.19 and 8,234.32

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Solution

The fourth proportional to 14,948.67, 20,629.19 and 8,234.32 is: 11,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.67 : 20,629.19 = 8,234.32 : x
  2. Step 2: Convert to fraction form
    14,948.67/20,629.19 = 8,234.32/x
  3. Step 3: Cross multiply
    14,948.67x = 20,629.19 × 8,234.32
  4. Step 4: Simplify right side
    14,948.67x = 169,867,310.63
  5. Step 5: Solve for x
    x = 169,867,310.63/14,948.67
  6. Step 6: Final answer
    x = 11,363.37

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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.