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Finding the Fourth Proportional to 17,094.24, 25,645.72 and 4,782.24

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Solution

The fourth proportional to 17,094.24, 25,645.72 and 4,782.24 is: 7,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.24 : 25,645.72 = 4,782.24 : x
  2. Step 2: Convert to fraction form
    17,094.24/25,645.72 = 4,782.24/x
  3. Step 3: Cross multiply
    17,094.24x = 25,645.72 × 4,782.24
  4. Step 4: Simplify right side
    17,094.24x = 122,643,988.01
  5. Step 5: Solve for x
    x = 122,643,988.01/17,094.24
  6. Step 6: Final answer
    x = 7,174.58

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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.