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Finding the Fourth Proportional to 13,548.31, 20,317.21 and 4,661.97

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Solution

The fourth proportional to 13,548.31, 20,317.21 and 4,661.97 is: 6,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.31 : 20,317.21 = 4,661.97 : x
  2. Step 2: Convert to fraction form
    13,548.31/20,317.21 = 4,661.97/x
  3. Step 3: Cross multiply
    13,548.31x = 20,317.21 × 4,661.97
  4. Step 4: Simplify right side
    13,548.31x = 94,718,223.50
  5. Step 5: Solve for x
    x = 94,718,223.50/13,548.31
  6. Step 6: Final answer
    x = 6,991.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.