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Finding the Fourth Proportional to 20,800.26, 28,706.00 and 11,848.14

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Solution

The fourth proportional to 20,800.26, 28,706.00 and 11,848.14 is: 16,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.26 : 28,706.00 = 11,848.14 : x
  2. Step 2: Convert to fraction form
    20,800.26/28,706.00 = 11,848.14/x
  3. Step 3: Cross multiply
    20,800.26x = 28,706.00 × 11,848.14
  4. Step 4: Simplify right side
    20,800.26x = 340,112,647.60
  5. Step 5: Solve for x
    x = 340,112,647.60/20,800.26
  6. Step 6: Final answer
    x = 16,351.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.