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Finding the Fourth Proportional to 23,641.32, 35,467.02 and 11,801.46

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Solution

The fourth proportional to 23,641.32, 35,467.02 and 11,801.46 is: 17,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.32 : 35,467.02 = 11,801.46 : x
  2. Step 2: Convert to fraction form
    23,641.32/35,467.02 = 11,801.46/x
  3. Step 3: Cross multiply
    23,641.32x = 35,467.02 × 11,801.46
  4. Step 4: Simplify right side
    23,641.32x = 418,562,617.85
  5. Step 5: Solve for x
    x = 418,562,617.85/23,641.32
  6. Step 6: Final answer
    x = 17,704.71

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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.