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Finding the Fourth Proportional to 15,724.26, 23,564.88 and 8,693.82

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Solution

The fourth proportional to 15,724.26, 23,564.88 and 8,693.82 is: 13,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.26 : 23,564.88 = 8,693.82 : x
  2. Step 2: Convert to fraction form
    15,724.26/23,564.88 = 8,693.82/x
  3. Step 3: Cross multiply
    15,724.26x = 23,564.88 × 8,693.82
  4. Step 4: Simplify right side
    15,724.26x = 204,868,825.04
  5. Step 5: Solve for x
    x = 204,868,825.04/15,724.26
  6. Step 6: Final answer
    x = 13,028.84

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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.