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Finding the Fourth Proportional to 15,806.14, 21,811.49 and 8,634.60

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Solution

The fourth proportional to 15,806.14, 21,811.49 and 8,634.60 is: 11,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.14 : 21,811.49 = 8,634.60 : x
  2. Step 2: Convert to fraction form
    15,806.14/21,811.49 = 8,634.60/x
  3. Step 3: Cross multiply
    15,806.14x = 21,811.49 × 8,634.60
  4. Step 4: Simplify right side
    15,806.14x = 188,333,491.55
  5. Step 5: Solve for x
    x = 188,333,491.55/15,806.14
  6. Step 6: Final answer
    x = 11,915.21

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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.