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Finding the Fourth Proportional to 15,696.12, 23,553.36 and 5,842.38

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Solution

The fourth proportional to 15,696.12, 23,553.36 and 5,842.38 is: 8,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.12 : 23,553.36 = 5,842.38 : x
  2. Step 2: Convert to fraction form
    15,696.12/23,553.36 = 5,842.38/x
  3. Step 3: Cross multiply
    15,696.12x = 23,553.36 × 5,842.38
  4. Step 4: Simplify right side
    15,696.12x = 137,607,679.40
  5. Step 5: Solve for x
    x = 137,607,679.40/15,696.12
  6. Step 6: Final answer
    x = 8,766.99

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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.