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Finding the Fourth Proportional to 23,096, 31,866.90 and 13,659.32

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Solution

The fourth proportional to 23,096, 31,866.90 and 13,659.32 is: 18,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096 : 31,866.90 = 13,659.32 : x
  2. Step 2: Convert to fraction form
    23,096/31,866.90 = 13,659.32/x
  3. Step 3: Cross multiply
    23,096x = 31,866.90 × 13,659.32
  4. Step 4: Simplify right side
    23,096x = 435,280,184.51
  5. Step 5: Solve for x
    x = 435,280,184.51/23,096
  6. Step 6: Final answer
    x = 18,846.56

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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.