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Finding the Fourth Proportional to 26,825.88, 40,239 and 9,291.60

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Solution

The fourth proportional to 26,825.88, 40,239 and 9,291.60 is: 13,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825.88 : 40,239 = 9,291.60 : x
  2. Step 2: Convert to fraction form
    26,825.88/40,239 = 9,291.60/x
  3. Step 3: Cross multiply
    26,825.88x = 40,239 × 9,291.60
  4. Step 4: Simplify right side
    26,825.88x = 373,884,692.40
  5. Step 5: Solve for x
    x = 373,884,692.40/26,825.88
  6. Step 6: Final answer
    x = 13,937.46

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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.