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Finding the Fourth Proportional to 14,948.97, 20,629.74 and 8,234.65

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Solution

The fourth proportional to 14,948.97, 20,629.74 and 8,234.65 is: 11,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.97 : 20,629.74 = 8,234.65 : x
  2. Step 2: Convert to fraction form
    14,948.97/20,629.74 = 8,234.65/x
  3. Step 3: Cross multiply
    14,948.97x = 20,629.74 × 8,234.65
  4. Step 4: Simplify right side
    14,948.97x = 169,878,582.80
  5. Step 5: Solve for x
    x = 169,878,582.80/14,948.97
  6. Step 6: Final answer
    x = 11,363.90

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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.