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Finding the Fourth Proportional to 23,826.55, 35,737.06 and 6,297.75

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Solution

The fourth proportional to 23,826.55, 35,737.06 and 6,297.75 is: 9,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.55 : 35,737.06 = 6,297.75 : x
  2. Step 2: Convert to fraction form
    23,826.55/35,737.06 = 6,297.75/x
  3. Step 3: Cross multiply
    23,826.55x = 35,737.06 × 6,297.75
  4. Step 4: Simplify right side
    23,826.55x = 225,063,069.62
  5. Step 5: Solve for x
    x = 225,063,069.62/23,826.55
  6. Step 6: Final answer
    x = 9,445.89

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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.