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Finding the Fourth Proportional to 21,809.40, 30,094.38 and 12,249.78

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Solution

The fourth proportional to 21,809.40, 30,094.38 and 12,249.78 is: 16,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.40 : 30,094.38 = 12,249.78 : x
  2. Step 2: Convert to fraction form
    21,809.40/30,094.38 = 12,249.78/x
  3. Step 3: Cross multiply
    21,809.40x = 30,094.38 × 12,249.78
  4. Step 4: Simplify right side
    21,809.40x = 368,649,534.24
  5. Step 5: Solve for x
    x = 368,649,534.24/21,809.40
  6. Step 6: Final answer
    x = 16,903.24

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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.