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Finding the Fourth Proportional to 13,580.75, 20,353.07 and 7,342.32

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Solution

The fourth proportional to 13,580.75, 20,353.07 and 7,342.32 is: 11,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.75 : 20,353.07 = 7,342.32 : x
  2. Step 2: Convert to fraction form
    13,580.75/20,353.07 = 7,342.32/x
  3. Step 3: Cross multiply
    13,580.75x = 20,353.07 × 7,342.32
  4. Step 4: Simplify right side
    13,580.75x = 149,438,716.21
  5. Step 5: Solve for x
    x = 149,438,716.21/13,580.75
  6. Step 6: Final answer
    x = 11,003.72

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