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Finding the Fourth Proportional to 16,064.84, 24,076.38 and 6,194.36

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Solution

The fourth proportional to 16,064.84, 24,076.38 and 6,194.36 is: 9,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.84 : 24,076.38 = 6,194.36 : x
  2. Step 2: Convert to fraction form
    16,064.84/24,076.38 = 6,194.36/x
  3. Step 3: Cross multiply
    16,064.84x = 24,076.38 × 6,194.36
  4. Step 4: Simplify right side
    16,064.84x = 149,137,765.22
  5. Step 5: Solve for x
    x = 149,137,765.22/16,064.84
  6. Step 6: Final answer
    x = 9,283.49

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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.