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Finding the Fourth Proportional to 25,244.88, 37,866.36 and 10,450

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Solution

The fourth proportional to 25,244.88, 37,866.36 and 10,450 is: 15,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,244.88 : 37,866.36 = 10,450 : x
  2. Step 2: Convert to fraction form
    25,244.88/37,866.36 = 10,450/x
  3. Step 3: Cross multiply
    25,244.88x = 37,866.36 × 10,450
  4. Step 4: Simplify right side
    25,244.88x = 395,703,462
  5. Step 5: Solve for x
    x = 395,703,462/25,244.88
  6. Step 6: Final answer
    x = 15,674.60

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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.