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Finding the Fourth Proportional to 14,371, 19,831.78 and 8,083.39

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Solution

The fourth proportional to 14,371, 19,831.78 and 8,083.39 is: 11,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371 : 19,831.78 = 8,083.39 : x
  2. Step 2: Convert to fraction form
    14,371/19,831.78 = 8,083.39/x
  3. Step 3: Cross multiply
    14,371x = 19,831.78 × 8,083.39
  4. Step 4: Simplify right side
    14,371x = 160,308,012.13
  5. Step 5: Solve for x
    x = 160,308,012.13/14,371
  6. Step 6: Final answer
    x = 11,154.97

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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.