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Finding the Fourth Proportional to 25,226.64, 37,840.61 and 7,696.42

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Solution

The fourth proportional to 25,226.64, 37,840.61 and 7,696.42 is: 11,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,226.64 : 37,840.61 = 7,696.42 : x
  2. Step 2: Convert to fraction form
    25,226.64/37,840.61 = 7,696.42/x
  3. Step 3: Cross multiply
    25,226.64x = 37,840.61 × 7,696.42
  4. Step 4: Simplify right side
    25,226.64x = 291,237,152.26
  5. Step 5: Solve for x
    x = 291,237,152.26/25,226.64
  6. Step 6: Final answer
    x = 11,544.83

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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.