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Finding the Fourth Proportional to 13,978.75, 20,968.14 and 3,590.50

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Solution

The fourth proportional to 13,978.75, 20,968.14 and 3,590.50 is: 5,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.75 : 20,968.14 = 3,590.50 : x
  2. Step 2: Convert to fraction form
    13,978.75/20,968.14 = 3,590.50/x
  3. Step 3: Cross multiply
    13,978.75x = 20,968.14 × 3,590.50
  4. Step 4: Simplify right side
    13,978.75x = 75,286,106.67
  5. Step 5: Solve for x
    x = 75,286,106.67/13,978.75
  6. Step 6: Final answer
    x = 5,385.75

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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.