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Finding the Fourth Proportional to 15,151.28, 20,910.86 and 9,578.48

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Solution

The fourth proportional to 15,151.28, 20,910.86 and 9,578.48 is: 13,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.28 : 20,910.86 = 9,578.48 : x
  2. Step 2: Convert to fraction form
    15,151.28/20,910.86 = 9,578.48/x
  3. Step 3: Cross multiply
    15,151.28x = 20,910.86 × 9,578.48
  4. Step 4: Simplify right side
    15,151.28x = 200,294,254.29
  5. Step 5: Solve for x
    x = 200,294,254.29/15,151.28
  6. Step 6: Final answer
    x = 13,219.63

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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.