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Finding the Fourth Proportional to 14,768.31, 20,381.48 and 8,396.90

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Solution

The fourth proportional to 14,768.31, 20,381.48 and 8,396.90 is: 11,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.31 : 20,381.48 = 8,396.90 : x
  2. Step 2: Convert to fraction form
    14,768.31/20,381.48 = 8,396.90/x
  3. Step 3: Cross multiply
    14,768.31x = 20,381.48 × 8,396.90
  4. Step 4: Simplify right side
    14,768.31x = 171,141,300.37
  5. Step 5: Solve for x
    x = 171,141,300.37/14,768.31
  6. Step 6: Final answer
    x = 11,588.41

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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.