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Finding the Fourth Proportional to 26,580, 39,846.48 and 9,928.80

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Solution

The fourth proportional to 26,580, 39,846.48 and 9,928.80 is: 14,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580 : 39,846.48 = 9,928.80 : x
  2. Step 2: Convert to fraction form
    26,580/39,846.48 = 9,928.80/x
  3. Step 3: Cross multiply
    26,580x = 39,846.48 × 9,928.80
  4. Step 4: Simplify right side
    26,580x = 395,627,730.62
  5. Step 5: Solve for x
    x = 395,627,730.62/26,580
  6. Step 6: Final answer
    x = 14,884.41

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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.