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Finding the Fourth Proportional to 12,865.44, 17,757.17 and 8,148.81

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Solution

The fourth proportional to 12,865.44, 17,757.17 and 8,148.81 is: 11,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.44 : 17,757.17 = 8,148.81 : x
  2. Step 2: Convert to fraction form
    12,865.44/17,757.17 = 8,148.81/x
  3. Step 3: Cross multiply
    12,865.44x = 17,757.17 × 8,148.81
  4. Step 4: Simplify right side
    12,865.44x = 144,699,804.47
  5. Step 5: Solve for x
    x = 144,699,804.47/12,865.44
  6. Step 6: Final answer
    x = 11,247.17

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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.