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Finding the Fourth Proportional to 28,556.84, 42,840.73 and 8,831.92

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Solution

The fourth proportional to 28,556.84, 42,840.73 and 8,831.92 is: 13,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,556.84 : 42,840.73 = 8,831.92 : x
  2. Step 2: Convert to fraction form
    28,556.84/42,840.73 = 8,831.92/x
  3. Step 3: Cross multiply
    28,556.84x = 42,840.73 × 8,831.92
  4. Step 4: Simplify right side
    28,556.84x = 378,365,900.10
  5. Step 5: Solve for x
    x = 378,365,900.10/28,556.84
  6. Step 6: Final answer
    x = 13,249.57

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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.