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Finding the Fourth Proportional to 15,223.50, 22,831.74 and 5,860.44

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Solution

The fourth proportional to 15,223.50, 22,831.74 and 5,860.44 is: 8,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.50 : 22,831.74 = 5,860.44 : x
  2. Step 2: Convert to fraction form
    15,223.50/22,831.74 = 5,860.44/x
  3. Step 3: Cross multiply
    15,223.50x = 22,831.74 × 5,860.44
  4. Step 4: Simplify right side
    15,223.50x = 133,804,042.37
  5. Step 5: Solve for x
    x = 133,804,042.37/15,223.50
  6. Step 6: Final answer
    x = 8,789.31

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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.