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Finding the Fourth Proportional to 25,271.26, 37,900.36 and 7,497.75

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Solution

The fourth proportional to 25,271.26, 37,900.36 and 7,497.75 is: 11,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,271.26 : 37,900.36 = 7,497.75 : x
  2. Step 2: Convert to fraction form
    25,271.26/37,900.36 = 7,497.75/x
  3. Step 3: Cross multiply
    25,271.26x = 37,900.36 × 7,497.75
  4. Step 4: Simplify right side
    25,271.26x = 284,167,424.19
  5. Step 5: Solve for x
    x = 284,167,424.19/25,271.26
  6. Step 6: Final answer
    x = 11,244.69

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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.