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Finding the Fourth Proportional to 14,151.41, 21,229.86 and 5,385.65

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Solution

The fourth proportional to 14,151.41, 21,229.86 and 5,385.65 is: 8,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.41 : 21,229.86 = 5,385.65 : x
  2. Step 2: Convert to fraction form
    14,151.41/21,229.86 = 5,385.65/x
  3. Step 3: Cross multiply
    14,151.41x = 21,229.86 × 5,385.65
  4. Step 4: Simplify right side
    14,151.41x = 114,336,568.58
  5. Step 5: Solve for x
    x = 114,336,568.58/14,151.41
  6. Step 6: Final answer
    x = 8,079.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.