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Finding the Fourth Proportional to 23,996.37, 33,114.90 and 13,386

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Solution

The fourth proportional to 23,996.37, 33,114.90 and 13,386 is: 18,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,996.37 : 33,114.90 = 13,386 : x
  2. Step 2: Convert to fraction form
    23,996.37/33,114.90 = 13,386/x
  3. Step 3: Cross multiply
    23,996.37x = 33,114.90 × 13,386
  4. Step 4: Simplify right side
    23,996.37x = 443,276,051.40
  5. Step 5: Solve for x
    x = 443,276,051.40/23,996.37
  6. Step 6: Final answer
    x = 18,472.63

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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.