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Finding the Fourth Proportional to 20,858.94, 28,780.38 and 12,682.31

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Solution

The fourth proportional to 20,858.94, 28,780.38 and 12,682.31 is: 17,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.94 : 28,780.38 = 12,682.31 : x
  2. Step 2: Convert to fraction form
    20,858.94/28,780.38 = 12,682.31/x
  3. Step 3: Cross multiply
    20,858.94x = 28,780.38 × 12,682.31
  4. Step 4: Simplify right side
    20,858.94x = 365,001,557.18
  5. Step 5: Solve for x
    x = 365,001,557.18/20,858.94
  6. Step 6: Final answer
    x = 17,498.57

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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.