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Finding the Fourth Proportional to 26,558.52, 39,837.78 and 7,838.82

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Solution

The fourth proportional to 26,558.52, 39,837.78 and 7,838.82 is: 11,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,558.52 : 39,837.78 = 7,838.82 : x
  2. Step 2: Convert to fraction form
    26,558.52/39,837.78 = 7,838.82/x
  3. Step 3: Cross multiply
    26,558.52x = 39,837.78 × 7,838.82
  4. Step 4: Simplify right side
    26,558.52x = 312,281,186.62
  5. Step 5: Solve for x
    x = 312,281,186.62/26,558.52
  6. Step 6: Final answer
    x = 11,758.23

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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.