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Finding the Fourth Proportional to 12,398.22, 17,105.39 and 7,019.93

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Solution

The fourth proportional to 12,398.22, 17,105.39 and 7,019.93 is: 9,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.22 : 17,105.39 = 7,019.93 : x
  2. Step 2: Convert to fraction form
    12,398.22/17,105.39 = 7,019.93/x
  3. Step 3: Cross multiply
    12,398.22x = 17,105.39 × 7,019.93
  4. Step 4: Simplify right side
    12,398.22x = 120,078,519.80
  5. Step 5: Solve for x
    x = 120,078,519.80/12,398.22
  6. Step 6: Final answer
    x = 9,685.14

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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.