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Finding the Fourth Proportional to 17,045, 25,568.94 and 4,733

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Solution

The fourth proportional to 17,045, 25,568.94 and 4,733 is: 7,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,045 : 25,568.94 = 4,733 : x
  2. Step 2: Convert to fraction form
    17,045/25,568.94 = 4,733/x
  3. Step 3: Cross multiply
    17,045x = 25,568.94 × 4,733
  4. Step 4: Simplify right side
    17,045x = 121,017,793.02
  5. Step 5: Solve for x
    x = 121,017,793.02/17,045
  6. Step 6: Final answer
    x = 7,099.90

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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.