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Finding the Fourth Proportional to 14,841.16, 22,268.36 and 7,819.48

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Solution

The fourth proportional to 14,841.16, 22,268.36 and 7,819.48 is: 11,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841.16 : 22,268.36 = 7,819.48 : x
  2. Step 2: Convert to fraction form
    14,841.16/22,268.36 = 7,819.48/x
  3. Step 3: Cross multiply
    14,841.16x = 22,268.36 × 7,819.48
  4. Step 4: Simplify right side
    14,841.16x = 174,126,995.65
  5. Step 5: Solve for x
    x = 174,126,995.65/14,841.16
  6. Step 6: Final answer
    x = 11,732.71

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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.