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Finding the Fourth Proportional to 14,544.98, 20,069.42 and 9,771.85

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Solution

The fourth proportional to 14,544.98, 20,069.42 and 9,771.85 is: 13,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.98 : 20,069.42 = 9,771.85 : x
  2. Step 2: Convert to fraction form
    14,544.98/20,069.42 = 9,771.85/x
  3. Step 3: Cross multiply
    14,544.98x = 20,069.42 × 9,771.85
  4. Step 4: Simplify right side
    14,544.98x = 196,115,336.08
  5. Step 5: Solve for x
    x = 196,115,336.08/14,544.98
  6. Step 6: Final answer
    x = 13,483.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.