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Finding the Fourth Proportional to 25,477, 38,219.82 and 7,943.34

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Solution

The fourth proportional to 25,477, 38,219.82 and 7,943.34 is: 11,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477 : 38,219.82 = 7,943.34 : x
  2. Step 2: Convert to fraction form
    25,477/38,219.82 = 7,943.34/x
  3. Step 3: Cross multiply
    25,477x = 38,219.82 × 7,943.34
  4. Step 4: Simplify right side
    25,477x = 303,593,025.00
  5. Step 5: Solve for x
    x = 303,593,025.00/25,477
  6. Step 6: Final answer
    x = 11,916.36

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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.