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Finding the Fourth Proportional to 25,022.16, 37,532.16 and 10,226.16

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Solution

The fourth proportional to 25,022.16, 37,532.16 and 10,226.16 is: 15,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,022.16 : 37,532.16 = 10,226.16 : x
  2. Step 2: Convert to fraction form
    25,022.16/37,532.16 = 10,226.16/x
  3. Step 3: Cross multiply
    25,022.16x = 37,532.16 × 10,226.16
  4. Step 4: Simplify right side
    25,022.16x = 383,809,873.31
  5. Step 5: Solve for x
    x = 383,809,873.31/25,022.16
  6. Step 6: Final answer
    x = 15,338.80

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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.