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Finding the Fourth Proportional to 14,331.76, 21,486.48 and 6,831.41

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Solution

The fourth proportional to 14,331.76, 21,486.48 and 6,831.41 is: 10,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.76 : 21,486.48 = 6,831.41 : x
  2. Step 2: Convert to fraction form
    14,331.76/21,486.48 = 6,831.41/x
  3. Step 3: Cross multiply
    14,331.76x = 21,486.48 × 6,831.41
  4. Step 4: Simplify right side
    14,331.76x = 146,782,954.34
  5. Step 5: Solve for x
    x = 146,782,954.34/14,331.76
  6. Step 6: Final answer
    x = 10,241.80

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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.