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Finding the Fourth Proportional to 25,174.65, 34,741.26 and 13,844.10

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Solution

The fourth proportional to 25,174.65, 34,741.26 and 13,844.10 is: 19,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174.65 : 34,741.26 = 13,844.10 : x
  2. Step 2: Convert to fraction form
    25,174.65/34,741.26 = 13,844.10/x
  3. Step 3: Cross multiply
    25,174.65x = 34,741.26 × 13,844.10
  4. Step 4: Simplify right side
    25,174.65x = 480,961,477.57
  5. Step 5: Solve for x
    x = 480,961,477.57/25,174.65
  6. Step 6: Final answer
    x = 19,104.99

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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.