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Finding the Fourth Proportional to 14,948.66, 20,630.09 and 8,234.28

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Solution

The fourth proportional to 14,948.66, 20,630.09 and 8,234.28 is: 11,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.66 : 20,630.09 = 8,234.28 : x
  2. Step 2: Convert to fraction form
    14,948.66/20,630.09 = 8,234.28/x
  3. Step 3: Cross multiply
    14,948.66x = 20,630.09 × 8,234.28
  4. Step 4: Simplify right side
    14,948.66x = 169,873,911.75
  5. Step 5: Solve for x
    x = 169,873,911.75/14,948.66
  6. Step 6: Final answer
    x = 11,363.82

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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.