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Finding the Fourth Proportional to 12,842.26, 19,264.62 and 5,049.25

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Solution

The fourth proportional to 12,842.26, 19,264.62 and 5,049.25 is: 7,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.26 : 19,264.62 = 5,049.25 : x
  2. Step 2: Convert to fraction form
    12,842.26/19,264.62 = 5,049.25/x
  3. Step 3: Cross multiply
    12,842.26x = 19,264.62 × 5,049.25
  4. Step 4: Simplify right side
    12,842.26x = 97,271,882.54
  5. Step 5: Solve for x
    x = 97,271,882.54/12,842.26
  6. Step 6: Final answer
    x = 7,574.36

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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.