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Finding the Fourth Proportional to 13,887.64, 20,831.59 and 3,499.39

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Solution

The fourth proportional to 13,887.64, 20,831.59 and 3,499.39 is: 5,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.64 : 20,831.59 = 3,499.39 : x
  2. Step 2: Convert to fraction form
    13,887.64/20,831.59 = 3,499.39/x
  3. Step 3: Cross multiply
    13,887.64x = 20,831.59 × 3,499.39
  4. Step 4: Simplify right side
    13,887.64x = 72,897,744.82
  5. Step 5: Solve for x
    x = 72,897,744.82/13,887.64
  6. Step 6: Final answer
    x = 5,249.11

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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.