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Finding the Fourth Proportional to 26,095.57, 39,149.43 and 8,564.34

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Solution

The fourth proportional to 26,095.57, 39,149.43 and 8,564.34 is: 12,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,095.57 : 39,149.43 = 8,564.34 : x
  2. Step 2: Convert to fraction form
    26,095.57/39,149.43 = 8,564.34/x
  3. Step 3: Cross multiply
    26,095.57x = 39,149.43 × 8,564.34
  4. Step 4: Simplify right side
    26,095.57x = 335,289,029.33
  5. Step 5: Solve for x
    x = 335,289,029.33/26,095.57
  6. Step 6: Final answer
    x = 12,848.50

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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.