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Finding the Fourth Proportional to 25,096.05, 37,643.00 and 8,456.02

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Solution

The fourth proportional to 25,096.05, 37,643.00 and 8,456.02 is: 12,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.05 : 37,643.00 = 8,456.02 : x
  2. Step 2: Convert to fraction form
    25,096.05/37,643.00 = 8,456.02/x
  3. Step 3: Cross multiply
    25,096.05x = 37,643.00 × 8,456.02
  4. Step 4: Simplify right side
    25,096.05x = 318,309,948.18
  5. Step 5: Solve for x
    x = 318,309,948.18/25,096.05
  6. Step 6: Final answer
    x = 12,683.67

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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.