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Finding the Fourth Proportional to 13,975.85, 20,949.18 and 5,661.60

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Solution

The fourth proportional to 13,975.85, 20,949.18 and 5,661.60 is: 8,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.85 : 20,949.18 = 5,661.60 : x
  2. Step 2: Convert to fraction form
    13,975.85/20,949.18 = 5,661.60/x
  3. Step 3: Cross multiply
    13,975.85x = 20,949.18 × 5,661.60
  4. Step 4: Simplify right side
    13,975.85x = 118,605,877.49
  5. Step 5: Solve for x
    x = 118,605,877.49/13,975.85
  6. Step 6: Final answer
    x = 8,486.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.