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Finding the Fourth Proportional to 15,097.89, 20,834.76 and 8,383.14

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Solution

The fourth proportional to 15,097.89, 20,834.76 and 8,383.14 is: 11,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.89 : 20,834.76 = 8,383.14 : x
  2. Step 2: Convert to fraction form
    15,097.89/20,834.76 = 8,383.14/x
  3. Step 3: Cross multiply
    15,097.89x = 20,834.76 × 8,383.14
  4. Step 4: Simplify right side
    15,097.89x = 174,660,709.95
  5. Step 5: Solve for x
    x = 174,660,709.95/15,097.89
  6. Step 6: Final answer
    x = 11,568.55

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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.