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Finding the Fourth Proportional to 15,171.96, 20,938.68 and 9,205.14

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Solution

The fourth proportional to 15,171.96, 20,938.68 and 9,205.14 is: 12,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.96 : 20,938.68 = 9,205.14 : x
  2. Step 2: Convert to fraction form
    15,171.96/20,938.68 = 9,205.14/x
  3. Step 3: Cross multiply
    15,171.96x = 20,938.68 × 9,205.14
  4. Step 4: Simplify right side
    15,171.96x = 192,743,480.82
  5. Step 5: Solve for x
    x = 192,743,480.82/15,171.96
  6. Step 6: Final answer
    x = 12,703.93

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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.