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Finding the Fourth Proportional to 23,240.26, 32,076.22 and 13,807

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Solution

The fourth proportional to 23,240.26, 32,076.22 and 13,807 is: 19,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,240.26 : 32,076.22 = 13,807 : x
  2. Step 2: Convert to fraction form
    23,240.26/32,076.22 = 13,807/x
  3. Step 3: Cross multiply
    23,240.26x = 32,076.22 × 13,807
  4. Step 4: Simplify right side
    23,240.26x = 442,876,369.54
  5. Step 5: Solve for x
    x = 442,876,369.54/23,240.26
  6. Step 6: Final answer
    x = 19,056.43

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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.