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Finding the Fourth Proportional to 13,744.96, 20,617.46 and 7,897.84

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Solution

The fourth proportional to 13,744.96, 20,617.46 and 7,897.84 is: 11,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.96 : 20,617.46 = 7,897.84 : x
  2. Step 2: Convert to fraction form
    13,744.96/20,617.46 = 7,897.84/x
  3. Step 3: Cross multiply
    13,744.96x = 20,617.46 × 7,897.84
  4. Step 4: Simplify right side
    13,744.96x = 162,833,400.29
  5. Step 5: Solve for x
    x = 162,833,400.29/13,744.96
  6. Step 6: Final answer
    x = 11,846.77

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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.