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Finding the Fourth Proportional to 20,928.26, 31,392.48 and 7,086.98

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Solution

The fourth proportional to 20,928.26, 31,392.48 and 7,086.98 is: 10,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928.26 : 31,392.48 = 7,086.98 : x
  2. Step 2: Convert to fraction form
    20,928.26/31,392.48 = 7,086.98/x
  3. Step 3: Cross multiply
    20,928.26x = 31,392.48 × 7,086.98
  4. Step 4: Simplify right side
    20,928.26x = 222,477,877.91
  5. Step 5: Solve for x
    x = 222,477,877.91/20,928.26
  6. Step 6: Final answer
    x = 10,630.50

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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.