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Finding the Fourth Proportional to 14,948.74, 20,629.26 and 8,234.31

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Solution

The fourth proportional to 14,948.74, 20,629.26 and 8,234.31 is: 11,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.74 : 20,629.26 = 8,234.31 : x
  2. Step 2: Convert to fraction form
    14,948.74/20,629.26 = 8,234.31/x
  3. Step 3: Cross multiply
    14,948.74x = 20,629.26 × 8,234.31
  4. Step 4: Simplify right side
    14,948.74x = 169,867,721.91
  5. Step 5: Solve for x
    x = 169,867,721.91/14,948.74
  6. Step 6: Final answer
    x = 11,363.35

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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.