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Finding the Fourth Proportional to 26,511.52, 39,758.74 and 11,720.08

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Solution

The fourth proportional to 26,511.52, 39,758.74 and 11,720.08 is: 17,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,511.52 : 39,758.74 = 11,720.08 : x
  2. Step 2: Convert to fraction form
    26,511.52/39,758.74 = 11,720.08/x
  3. Step 3: Cross multiply
    26,511.52x = 39,758.74 × 11,720.08
  4. Step 4: Simplify right side
    26,511.52x = 465,975,613.50
  5. Step 5: Solve for x
    x = 465,975,613.50/26,511.52
  6. Step 6: Final answer
    x = 17,576.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.