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Finding the Fourth Proportional to 13,615.30, 20,403.48 and 7,759.84

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Solution

The fourth proportional to 13,615.30, 20,403.48 and 7,759.84 is: 11,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.30 : 20,403.48 = 7,759.84 : x
  2. Step 2: Convert to fraction form
    13,615.30/20,403.48 = 7,759.84/x
  3. Step 3: Cross multiply
    13,615.30x = 20,403.48 × 7,759.84
  4. Step 4: Simplify right side
    13,615.30x = 158,327,740.24
  5. Step 5: Solve for x
    x = 158,327,740.24/13,615.30
  6. Step 6: Final answer
    x = 11,628.66

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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.