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Finding the Fourth Proportional to 25,216.43, 37,823.63 and 10,414.22

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Solution

The fourth proportional to 25,216.43, 37,823.63 and 10,414.22 is: 15,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.43 : 37,823.63 = 10,414.22 : x
  2. Step 2: Convert to fraction form
    25,216.43/37,823.63 = 10,414.22/x
  3. Step 3: Cross multiply
    25,216.43x = 37,823.63 × 10,414.22
  4. Step 4: Simplify right side
    25,216.43x = 393,903,362.83
  5. Step 5: Solve for x
    x = 393,903,362.83/25,216.43
  6. Step 6: Final answer
    x = 15,620.90

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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.