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Finding the Fourth Proportional to 25,169.26, 34,732.86 and 13,838.74

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Solution

The fourth proportional to 25,169.26, 34,732.86 and 13,838.74 is: 19,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,169.26 : 34,732.86 = 13,838.74 : x
  2. Step 2: Convert to fraction form
    25,169.26/34,732.86 = 13,838.74/x
  3. Step 3: Cross multiply
    25,169.26x = 34,732.86 × 13,838.74
  4. Step 4: Simplify right side
    25,169.26x = 480,659,019.00
  5. Step 5: Solve for x
    x = 480,659,019.00/25,169.26
  6. Step 6: Final answer
    x = 19,097.07

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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.