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Finding the Fourth Proportional to 23,846.34, 32,906.78 and 13,090.95

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Solution

The fourth proportional to 23,846.34, 32,906.78 and 13,090.95 is: 18,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.34 : 32,906.78 = 13,090.95 : x
  2. Step 2: Convert to fraction form
    23,846.34/32,906.78 = 13,090.95/x
  3. Step 3: Cross multiply
    23,846.34x = 32,906.78 × 13,090.95
  4. Step 4: Simplify right side
    23,846.34x = 430,780,946.19
  5. Step 5: Solve for x
    x = 430,780,946.19/23,846.34
  6. Step 6: Final answer
    x = 18,064.87

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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.