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Finding the Fourth Proportional to 17,757.36, 26,646.60 and 7,897.20

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Solution

The fourth proportional to 17,757.36, 26,646.60 and 7,897.20 is: 11,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.36 : 26,646.60 = 7,897.20 : x
  2. Step 2: Convert to fraction form
    17,757.36/26,646.60 = 7,897.20/x
  3. Step 3: Cross multiply
    17,757.36x = 26,646.60 × 7,897.20
  4. Step 4: Simplify right side
    17,757.36x = 210,433,529.52
  5. Step 5: Solve for x
    x = 210,433,529.52/17,757.36
  6. Step 6: Final answer
    x = 11,850.50

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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.