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Finding the Fourth Proportional to 23,057.25, 34,582.43 and 6,415.54

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Solution

The fourth proportional to 23,057.25, 34,582.43 and 6,415.54 is: 9,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.25 : 34,582.43 = 6,415.54 : x
  2. Step 2: Convert to fraction form
    23,057.25/34,582.43 = 6,415.54/x
  3. Step 3: Cross multiply
    23,057.25x = 34,582.43 × 6,415.54
  4. Step 4: Simplify right side
    23,057.25x = 221,864,930.88
  5. Step 5: Solve for x
    x = 221,864,930.88/23,057.25
  6. Step 6: Final answer
    x = 9,622.35

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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.