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Finding the Fourth Proportional to 26,551.80, 39,834.54 and 7,831.08

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Solution

The fourth proportional to 26,551.80, 39,834.54 and 7,831.08 is: 11,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,551.80 : 39,834.54 = 7,831.08 : x
  2. Step 2: Convert to fraction form
    26,551.80/39,834.54 = 7,831.08/x
  3. Step 3: Cross multiply
    26,551.80x = 39,834.54 × 7,831.08
  4. Step 4: Simplify right side
    26,551.80x = 311,947,469.50
  5. Step 5: Solve for x
    x = 311,947,469.50/26,551.80
  6. Step 6: Final answer
    x = 11,748.64

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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.