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Finding the Fourth Proportional to 15,914.24, 23,865.09 and 5,780.22

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Solution

The fourth proportional to 15,914.24, 23,865.09 and 5,780.22 is: 8,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.24 : 23,865.09 = 5,780.22 : x
  2. Step 2: Convert to fraction form
    15,914.24/23,865.09 = 5,780.22/x
  3. Step 3: Cross multiply
    15,914.24x = 23,865.09 × 5,780.22
  4. Step 4: Simplify right side
    15,914.24x = 137,945,567.79
  5. Step 5: Solve for x
    x = 137,945,567.79/15,914.24
  6. Step 6: Final answer
    x = 8,668.06

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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.