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Finding the Fourth Proportional to 25,142.26, 34,696.55 and 13,812

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Solution

The fourth proportional to 25,142.26, 34,696.55 and 13,812 is: 19,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.26 : 34,696.55 = 13,812 : x
  2. Step 2: Convert to fraction form
    25,142.26/34,696.55 = 13,812/x
  3. Step 3: Cross multiply
    25,142.26x = 34,696.55 × 13,812
  4. Step 4: Simplify right side
    25,142.26x = 479,228,748.60
  5. Step 5: Solve for x
    x = 479,228,748.60/25,142.26
  6. Step 6: Final answer
    x = 19,060.69

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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.