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Finding the Fourth Proportional to 15,147.19, 20,906.57 and 9,832.78

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Solution

The fourth proportional to 15,147.19, 20,906.57 and 9,832.78 is: 13,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.19 : 20,906.57 = 9,832.78 : x
  2. Step 2: Convert to fraction form
    15,147.19/20,906.57 = 9,832.78/x
  3. Step 3: Cross multiply
    15,147.19x = 20,906.57 × 9,832.78
  4. Step 4: Simplify right side
    15,147.19x = 205,569,703.36
  5. Step 5: Solve for x
    x = 205,569,703.36/15,147.19
  6. Step 6: Final answer
    x = 13,571.47

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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.