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Finding the Fourth Proportional to 20,415.36, 30,622.32 and 6,564

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Solution

The fourth proportional to 20,415.36, 30,622.32 and 6,564 is: 9,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.36 : 30,622.32 = 6,564 : x
  2. Step 2: Convert to fraction form
    20,415.36/30,622.32 = 6,564/x
  3. Step 3: Cross multiply
    20,415.36x = 30,622.32 × 6,564
  4. Step 4: Simplify right side
    20,415.36x = 201,004,908.48
  5. Step 5: Solve for x
    x = 201,004,908.48/20,415.36
  6. Step 6: Final answer
    x = 9,845.77

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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.