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Finding the Fourth Proportional to 26,553.42, 39,830.49 and 6,831.54

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Solution

The fourth proportional to 26,553.42, 39,830.49 and 6,831.54 is: 10,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,553.42 : 39,830.49 = 6,831.54 : x
  2. Step 2: Convert to fraction form
    26,553.42/39,830.49 = 6,831.54/x
  3. Step 3: Cross multiply
    26,553.42x = 39,830.49 × 6,831.54
  4. Step 4: Simplify right side
    26,553.42x = 272,103,585.65
  5. Step 5: Solve for x
    x = 272,103,585.65/26,553.42
  6. Step 6: Final answer
    x = 10,247.40

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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.