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Finding the Fourth Proportional to 19,512.80, 29,278.80 and 14,831.20

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Solution

The fourth proportional to 19,512.80, 29,278.80 and 14,831.20 is: 22,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.80 : 29,278.80 = 14,831.20 : x
  2. Step 2: Convert to fraction form
    19,512.80/29,278.80 = 14,831.20/x
  3. Step 3: Cross multiply
    19,512.80x = 29,278.80 × 14,831.20
  4. Step 4: Simplify right side
    19,512.80x = 434,239,738.56
  5. Step 5: Solve for x
    x = 434,239,738.56/19,512.80
  6. Step 6: Final answer
    x = 22,254.10

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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.