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Finding the Fourth Proportional to 16,809.22, 25,196.21 and 6,274.72

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Solution

The fourth proportional to 16,809.22, 25,196.21 and 6,274.72 is: 9,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.22 : 25,196.21 = 6,274.72 : x
  2. Step 2: Convert to fraction form
    16,809.22/25,196.21 = 6,274.72/x
  3. Step 3: Cross multiply
    16,809.22x = 25,196.21 × 6,274.72
  4. Step 4: Simplify right side
    16,809.22x = 158,099,080.03
  5. Step 5: Solve for x
    x = 158,099,080.03/16,809.22
  6. Step 6: Final answer
    x = 9,405.50

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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.