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Finding the Fourth Proportional to 25,187.78, 34,758.42 and 13,857.29

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Solution

The fourth proportional to 25,187.78, 34,758.42 and 13,857.29 is: 19,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.78 : 34,758.42 = 13,857.29 : x
  2. Step 2: Convert to fraction form
    25,187.78/34,758.42 = 13,857.29/x
  3. Step 3: Cross multiply
    25,187.78x = 34,758.42 × 13,857.29
  4. Step 4: Simplify right side
    25,187.78x = 481,657,605.99
  5. Step 5: Solve for x
    x = 481,657,605.99/25,187.78
  6. Step 6: Final answer
    x = 19,122.67

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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.