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Finding the Fourth Proportional to 20,559.92, 30,831.76 and 7,407.68

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Solution

The fourth proportional to 20,559.92, 30,831.76 and 7,407.68 is: 11,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.92 : 30,831.76 = 7,407.68 : x
  2. Step 2: Convert to fraction form
    20,559.92/30,831.76 = 7,407.68/x
  3. Step 3: Cross multiply
    20,559.92x = 30,831.76 × 7,407.68
  4. Step 4: Simplify right side
    20,559.92x = 228,391,811.92
  5. Step 5: Solve for x
    x = 228,391,811.92/20,559.92
  6. Step 6: Final answer
    x = 11,108.59

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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.