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Finding the Fourth Proportional to 10,297.18, 14,220.18 and 8,796.34

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Solution

The fourth proportional to 10,297.18, 14,220.18 and 8,796.34 is: 12,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.18 : 14,220.18 = 8,796.34 : x
  2. Step 2: Convert to fraction form
    10,297.18/14,220.18 = 8,796.34/x
  3. Step 3: Cross multiply
    10,297.18x = 14,220.18 × 8,796.34
  4. Step 4: Simplify right side
    10,297.18x = 125,085,538.14
  5. Step 5: Solve for x
    x = 125,085,538.14/10,297.18
  6. Step 6: Final answer
    x = 12,147.55

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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.