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Finding the Fourth Proportional to 23,077.84, 31,847.43 and 12,467.47

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Solution

The fourth proportional to 23,077.84, 31,847.43 and 12,467.47 is: 17,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.84 : 31,847.43 = 12,467.47 : x
  2. Step 2: Convert to fraction form
    23,077.84/31,847.43 = 12,467.47/x
  3. Step 3: Cross multiply
    23,077.84x = 31,847.43 × 12,467.47
  4. Step 4: Simplify right side
    23,077.84x = 397,056,878.10
  5. Step 5: Solve for x
    x = 397,056,878.10/23,077.84
  6. Step 6: Final answer
    x = 17,205.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.