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Finding the Fourth Proportional to 14,144.83, 19,520.19 and 7,771.75

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Solution

The fourth proportional to 14,144.83, 19,520.19 and 7,771.75 is: 10,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.83 : 19,520.19 = 7,771.75 : x
  2. Step 2: Convert to fraction form
    14,144.83/19,520.19 = 7,771.75/x
  3. Step 3: Cross multiply
    14,144.83x = 19,520.19 × 7,771.75
  4. Step 4: Simplify right side
    14,144.83x = 151,705,987.83
  5. Step 5: Solve for x
    x = 151,705,987.83/14,144.83
  6. Step 6: Final answer
    x = 10,725.19

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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.