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Finding the Fourth Proportional to 15,882.69, 23,817.96 and 7,556.30

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Solution

The fourth proportional to 15,882.69, 23,817.96 and 7,556.30 is: 11,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.69 : 23,817.96 = 7,556.30 : x
  2. Step 2: Convert to fraction form
    15,882.69/23,817.96 = 7,556.30/x
  3. Step 3: Cross multiply
    15,882.69x = 23,817.96 × 7,556.30
  4. Step 4: Simplify right side
    15,882.69x = 179,975,532.06
  5. Step 5: Solve for x
    x = 179,975,532.06/15,882.69
  6. Step 6: Final answer
    x = 11,331.55

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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.