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Finding the Fourth Proportional to 17,164.44, 25,746.90 and 4,852.44

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Solution

The fourth proportional to 17,164.44, 25,746.90 and 4,852.44 is: 7,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.44 : 25,746.90 = 4,852.44 : x
  2. Step 2: Convert to fraction form
    17,164.44/25,746.90 = 4,852.44/x
  3. Step 3: Cross multiply
    17,164.44x = 25,746.90 × 4,852.44
  4. Step 4: Simplify right side
    17,164.44x = 124,935,287.44
  5. Step 5: Solve for x
    x = 124,935,287.44/17,164.44
  6. Step 6: Final answer
    x = 7,278.73

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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.