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Finding the Fourth Proportional to 10,224.97, 15,261.58 and 8,813.34

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Solution

The fourth proportional to 10,224.97, 15,261.58 and 8,813.34 is: 13,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.97 : 15,261.58 = 8,813.34 : x
  2. Step 2: Convert to fraction form
    10,224.97/15,261.58 = 8,813.34/x
  3. Step 3: Cross multiply
    10,224.97x = 15,261.58 × 8,813.34
  4. Step 4: Simplify right side
    10,224.97x = 134,505,493.48
  5. Step 5: Solve for x
    x = 134,505,493.48/10,224.97
  6. Step 6: Final answer
    x = 13,154.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.