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Finding the Fourth Proportional to 15,906.76, 21,950.34 and 9,191.30

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Solution

The fourth proportional to 15,906.76, 21,950.34 and 9,191.30 is: 12,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.76 : 21,950.34 = 9,191.30 : x
  2. Step 2: Convert to fraction form
    15,906.76/21,950.34 = 9,191.30/x
  3. Step 3: Cross multiply
    15,906.76x = 21,950.34 × 9,191.30
  4. Step 4: Simplify right side
    15,906.76x = 201,752,015.82
  5. Step 5: Solve for x
    x = 201,752,015.82/15,906.76
  6. Step 6: Final answer
    x = 12,683.42

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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.