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Finding the Fourth Proportional to 12,843.16, 19,275.67 and 5,057.44

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Solution

The fourth proportional to 12,843.16, 19,275.67 and 5,057.44 is: 7,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.16 : 19,275.67 = 5,057.44 : x
  2. Step 2: Convert to fraction form
    12,843.16/19,275.67 = 5,057.44/x
  3. Step 3: Cross multiply
    12,843.16x = 19,275.67 × 5,057.44
  4. Step 4: Simplify right side
    12,843.16x = 97,485,502.62
  5. Step 5: Solve for x
    x = 97,485,502.62/12,843.16
  6. Step 6: Final answer
    x = 7,590.46

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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.