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Finding the Fourth Proportional to 12,433.74, 17,152.93 and 7,395.09

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Solution

The fourth proportional to 12,433.74, 17,152.93 and 7,395.09 is: 10,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.74 : 17,152.93 = 7,395.09 : x
  2. Step 2: Convert to fraction form
    12,433.74/17,152.93 = 7,395.09/x
  3. Step 3: Cross multiply
    12,433.74x = 17,152.93 × 7,395.09
  4. Step 4: Simplify right side
    12,433.74x = 126,847,424.14
  5. Step 5: Solve for x
    x = 126,847,424.14/12,433.74
  6. Step 6: Final answer
    x = 10,201.87

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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.