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Finding the Fourth Proportional to 16,726, 25,090.68 and 4,414

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Solution

The fourth proportional to 16,726, 25,090.68 and 4,414 is: 6,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,726 : 25,090.68 = 4,414 : x
  2. Step 2: Convert to fraction form
    16,726/25,090.68 = 4,414/x
  3. Step 3: Cross multiply
    16,726x = 25,090.68 × 4,414
  4. Step 4: Simplify right side
    16,726x = 110,750,261.52
  5. Step 5: Solve for x
    x = 110,750,261.52/16,726
  6. Step 6: Final answer
    x = 6,621.44

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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.