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Finding the Fourth Proportional to 20,926.26, 31,389.48 and 7,084.98

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Solution

The fourth proportional to 20,926.26, 31,389.48 and 7,084.98 is: 10,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,926.26 : 31,389.48 = 7,084.98 : x
  2. Step 2: Convert to fraction form
    20,926.26/31,389.48 = 7,084.98/x
  3. Step 3: Cross multiply
    20,926.26x = 31,389.48 × 7,084.98
  4. Step 4: Simplify right side
    20,926.26x = 222,393,838.01
  5. Step 5: Solve for x
    x = 222,393,838.01/20,926.26
  6. Step 6: Final answer
    x = 10,627.50

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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.