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Finding the Fourth Proportional to 13,978.86, 20,968.26 and 3,590.64

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Solution

The fourth proportional to 13,978.86, 20,968.26 and 3,590.64 is: 5,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.86 : 20,968.26 = 3,590.64 : x
  2. Step 2: Convert to fraction form
    13,978.86/20,968.26 = 3,590.64/x
  3. Step 3: Cross multiply
    13,978.86x = 20,968.26 × 3,590.64
  4. Step 4: Simplify right side
    13,978.86x = 75,289,473.09
  5. Step 5: Solve for x
    x = 75,289,473.09/13,978.86
  6. Step 6: Final answer
    x = 5,385.95

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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.