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Finding the Fourth Proportional to 13,985.34, 20,974.96 and 4,623.14

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Solution

The fourth proportional to 13,985.34, 20,974.96 and 4,623.14 is: 6,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.34 : 20,974.96 = 4,623.14 : x
  2. Step 2: Convert to fraction form
    13,985.34/20,974.96 = 4,623.14/x
  3. Step 3: Cross multiply
    13,985.34x = 20,974.96 × 4,623.14
  4. Step 4: Simplify right side
    13,985.34x = 96,970,234.79
  5. Step 5: Solve for x
    x = 96,970,234.79/13,985.34
  6. Step 6: Final answer
    x = 6,933.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.