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Finding the Fourth Proportional to 17,100, 25,652.04 and 5,252.21

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Solution

The fourth proportional to 17,100, 25,652.04 and 5,252.21 is: 7,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 25,652.04 = 5,252.21 : x
  2. Step 2: Convert to fraction form
    17,100/25,652.04 = 5,252.21/x
  3. Step 3: Cross multiply
    17,100x = 25,652.04 × 5,252.21
  4. Step 4: Simplify right side
    17,100x = 134,729,901.01
  5. Step 5: Solve for x
    x = 134,729,901.01/17,100
  6. Step 6: Final answer
    x = 7,878.94

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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.