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Finding the Fourth Proportional to 13,539.60, 18,682.35 and 7,571.31

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Solution

The fourth proportional to 13,539.60, 18,682.35 and 7,571.31 is: 10,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.60 : 18,682.35 = 7,571.31 : x
  2. Step 2: Convert to fraction form
    13,539.60/18,682.35 = 7,571.31/x
  3. Step 3: Cross multiply
    13,539.60x = 18,682.35 × 7,571.31
  4. Step 4: Simplify right side
    13,539.60x = 141,449,863.38
  5. Step 5: Solve for x
    x = 141,449,863.38/13,539.60
  6. Step 6: Final answer
    x = 10,447.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.