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Finding the Fourth Proportional to 25,409.39, 38,127.09 and 12,097.44

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Solution

The fourth proportional to 25,409.39, 38,127.09 and 12,097.44 is: 18,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409.39 : 38,127.09 = 12,097.44 : x
  2. Step 2: Convert to fraction form
    25,409.39/38,127.09 = 12,097.44/x
  3. Step 3: Cross multiply
    25,409.39x = 38,127.09 × 12,097.44
  4. Step 4: Simplify right side
    25,409.39x = 461,240,183.65
  5. Step 5: Solve for x
    x = 461,240,183.65/25,409.39
  6. Step 6: Final answer
    x = 18,152.36

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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.