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Finding the Fourth Proportional to 19,757.56, 27,265.91 and 11,259.50

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Solution

The fourth proportional to 19,757.56, 27,265.91 and 11,259.50 is: 15,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.56 : 27,265.91 = 11,259.50 : x
  2. Step 2: Convert to fraction form
    19,757.56/27,265.91 = 11,259.50/x
  3. Step 3: Cross multiply
    19,757.56x = 27,265.91 × 11,259.50
  4. Step 4: Simplify right side
    19,757.56x = 307,000,513.65
  5. Step 5: Solve for x
    x = 307,000,513.65/19,757.56
  6. Step 6: Final answer
    x = 15,538.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.