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Finding the Fourth Proportional to 21,831.69, 30,126.42 and 12,882

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Solution

The fourth proportional to 21,831.69, 30,126.42 and 12,882 is: 17,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.69 : 30,126.42 = 12,882 : x
  2. Step 2: Convert to fraction form
    21,831.69/30,126.42 = 12,882/x
  3. Step 3: Cross multiply
    21,831.69x = 30,126.42 × 12,882
  4. Step 4: Simplify right side
    21,831.69x = 388,088,542.44
  5. Step 5: Solve for x
    x = 388,088,542.44/21,831.69
  6. Step 6: Final answer
    x = 17,776.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.