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Finding the Fourth Proportional to 25,214.25, 37,825.47 and 7,446.70

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Solution

The fourth proportional to 25,214.25, 37,825.47 and 7,446.70 is: 11,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.25 : 37,825.47 = 7,446.70 : x
  2. Step 2: Convert to fraction form
    25,214.25/37,825.47 = 7,446.70/x
  3. Step 3: Cross multiply
    25,214.25x = 37,825.47 × 7,446.70
  4. Step 4: Simplify right side
    25,214.25x = 281,674,974.73
  5. Step 5: Solve for x
    x = 281,674,974.73/25,214.25
  6. Step 6: Final answer
    x = 11,171.26

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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.