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Finding the Fourth Proportional to 15,713.14, 21,684.36 and 8,639.50

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Solution

The fourth proportional to 15,713.14, 21,684.36 and 8,639.50 is: 11,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.14 : 21,684.36 = 8,639.50 : x
  2. Step 2: Convert to fraction form
    15,713.14/21,684.36 = 8,639.50/x
  3. Step 3: Cross multiply
    15,713.14x = 21,684.36 × 8,639.50
  4. Step 4: Simplify right side
    15,713.14x = 187,342,028.22
  5. Step 5: Solve for x
    x = 187,342,028.22/15,713.14
  6. Step 6: Final answer
    x = 11,922.63

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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.