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Finding the Fourth Proportional to 17,267.52, 25,897.52 and 6,174.98

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Solution

The fourth proportional to 17,267.52, 25,897.52 and 6,174.98 is: 9,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.52 : 25,897.52 = 6,174.98 : x
  2. Step 2: Convert to fraction form
    17,267.52/25,897.52 = 6,174.98/x
  3. Step 3: Cross multiply
    17,267.52x = 25,897.52 × 6,174.98
  4. Step 4: Simplify right side
    17,267.52x = 159,916,507.69
  5. Step 5: Solve for x
    x = 159,916,507.69/17,267.52
  6. Step 6: Final answer
    x = 9,261.12

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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.