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Finding the Fourth Proportional to 15,729.60, 21,706.77 and 8,655.99

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Solution

The fourth proportional to 15,729.60, 21,706.77 and 8,655.99 is: 11,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.60 : 21,706.77 = 8,655.99 : x
  2. Step 2: Convert to fraction form
    15,729.60/21,706.77 = 8,655.99/x
  3. Step 3: Cross multiply
    15,729.60x = 21,706.77 × 8,655.99
  4. Step 4: Simplify right side
    15,729.60x = 187,893,584.05
  5. Step 5: Solve for x
    x = 187,893,584.05/15,729.60
  6. Step 6: Final answer
    x = 11,945.22

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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.