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Finding the Fourth Proportional to 20,900.26, 28,846.56 and 14,188.07

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Solution

The fourth proportional to 20,900.26, 28,846.56 and 14,188.07 is: 19,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.26 : 28,846.56 = 14,188.07 : x
  2. Step 2: Convert to fraction form
    20,900.26/28,846.56 = 14,188.07/x
  3. Step 3: Cross multiply
    20,900.26x = 28,846.56 × 14,188.07
  4. Step 4: Simplify right side
    20,900.26x = 409,277,137.86
  5. Step 5: Solve for x
    x = 409,277,137.86/20,900.26
  6. Step 6: Final answer
    x = 19,582.39

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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.