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Finding the Fourth Proportional to 10,609.26, 15,889.26 and 10,240.23

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Solution

The fourth proportional to 10,609.26, 15,889.26 and 10,240.23 is: 15,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.26 : 15,889.26 = 10,240.23 : x
  2. Step 2: Convert to fraction form
    10,609.26/15,889.26 = 10,240.23/x
  3. Step 3: Cross multiply
    10,609.26x = 15,889.26 × 10,240.23
  4. Step 4: Simplify right side
    10,609.26x = 162,709,676.93
  5. Step 5: Solve for x
    x = 162,709,676.93/10,609.26
  6. Step 6: Final answer
    x = 15,336.57

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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.