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Finding the Fourth Proportional to 25,096.60, 37,648.48 and 8,226

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Solution

The fourth proportional to 25,096.60, 37,648.48 and 8,226 is: 12,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.60 : 37,648.48 = 8,226 : x
  2. Step 2: Convert to fraction form
    25,096.60/37,648.48 = 8,226/x
  3. Step 3: Cross multiply
    25,096.60x = 37,648.48 × 8,226
  4. Step 4: Simplify right side
    25,096.60x = 309,696,396.48
  5. Step 5: Solve for x
    x = 309,696,396.48/25,096.60
  6. Step 6: Final answer
    x = 12,340.17

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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.