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Finding the Fourth Proportional to 12,398.28, 17,109.68 and 7,093.16

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Solution

The fourth proportional to 12,398.28, 17,109.68 and 7,093.16 is: 9,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.28 : 17,109.68 = 7,093.16 : x
  2. Step 2: Convert to fraction form
    12,398.28/17,109.68 = 7,093.16/x
  3. Step 3: Cross multiply
    12,398.28x = 17,109.68 × 7,093.16
  4. Step 4: Simplify right side
    12,398.28x = 121,361,697.79
  5. Step 5: Solve for x
    x = 121,361,697.79/12,398.28
  6. Step 6: Final answer
    x = 9,788.59

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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.