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Finding the Fourth Proportional to 23,622.53, 35,438.76 and 7,826.65

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Solution

The fourth proportional to 23,622.53, 35,438.76 and 7,826.65 is: 11,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.53 : 35,438.76 = 7,826.65 : x
  2. Step 2: Convert to fraction form
    23,622.53/35,438.76 = 7,826.65/x
  3. Step 3: Cross multiply
    23,622.53x = 35,438.76 × 7,826.65
  4. Step 4: Simplify right side
    23,622.53x = 277,366,682.36
  5. Step 5: Solve for x
    x = 277,366,682.36/23,622.53
  6. Step 6: Final answer
    x = 11,741.62

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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.