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Finding the Fourth Proportional to 19,219.33, 28,831.53 and 6,738.40

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Solution

The fourth proportional to 19,219.33, 28,831.53 and 6,738.40 is: 10,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.33 : 28,831.53 = 6,738.40 : x
  2. Step 2: Convert to fraction form
    19,219.33/28,831.53 = 6,738.40/x
  3. Step 3: Cross multiply
    19,219.33x = 28,831.53 × 6,738.40
  4. Step 4: Simplify right side
    19,219.33x = 194,278,381.75
  5. Step 5: Solve for x
    x = 194,278,381.75/19,219.33
  6. Step 6: Final answer
    x = 10,108.49

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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.