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Finding the Fourth Proportional to 13,498.37, 18,615.66 and 8,463.14

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Solution

The fourth proportional to 13,498.37, 18,615.66 and 8,463.14 is: 11,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.37 : 18,615.66 = 8,463.14 : x
  2. Step 2: Convert to fraction form
    13,498.37/18,615.66 = 8,463.14/x
  3. Step 3: Cross multiply
    13,498.37x = 18,615.66 × 8,463.14
  4. Step 4: Simplify right side
    13,498.37x = 157,546,843.69
  5. Step 5: Solve for x
    x = 157,546,843.69/13,498.37
  6. Step 6: Final answer
    x = 11,671.55

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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.