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Finding the Fourth Proportional to 17,242.94, 25,861.65 and 7,877.12

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Solution

The fourth proportional to 17,242.94, 25,861.65 and 7,877.12 is: 11,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.94 : 25,861.65 = 7,877.12 : x
  2. Step 2: Convert to fraction form
    17,242.94/25,861.65 = 7,877.12/x
  3. Step 3: Cross multiply
    17,242.94x = 25,861.65 × 7,877.12
  4. Step 4: Simplify right side
    17,242.94x = 203,715,191.14
  5. Step 5: Solve for x
    x = 203,715,191.14/17,242.94
  6. Step 6: Final answer
    x = 11,814.42

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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.