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Finding the Fourth Proportional to 17,709.08, 24,425.89 and 11,415.38

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Solution

The fourth proportional to 17,709.08, 24,425.89 and 11,415.38 is: 15,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.08 : 24,425.89 = 11,415.38 : x
  2. Step 2: Convert to fraction form
    17,709.08/24,425.89 = 11,415.38/x
  3. Step 3: Cross multiply
    17,709.08x = 24,425.89 × 11,415.38
  4. Step 4: Simplify right side
    17,709.08x = 278,830,665.52
  5. Step 5: Solve for x
    x = 278,830,665.52/17,709.08
  6. Step 6: Final answer
    x = 15,745.07

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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.