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Finding the Fourth Proportional to 17,147.38, 25,725.69 and 7,148.80

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Solution

The fourth proportional to 17,147.38, 25,725.69 and 7,148.80 is: 10,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.38 : 25,725.69 = 7,148.80 : x
  2. Step 2: Convert to fraction form
    17,147.38/25,725.69 = 7,148.80/x
  3. Step 3: Cross multiply
    17,147.38x = 25,725.69 × 7,148.80
  4. Step 4: Simplify right side
    17,147.38x = 183,907,844.83
  5. Step 5: Solve for x
    x = 183,907,844.83/17,147.38
  6. Step 6: Final answer
    x = 10,725.13

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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.