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Finding the Fourth Proportional to 13,440.96, 20,173.92 and 6,871.84

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Solution

The fourth proportional to 13,440.96, 20,173.92 and 6,871.84 is: 10,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.96 : 20,173.92 = 6,871.84 : x
  2. Step 2: Convert to fraction form
    13,440.96/20,173.92 = 6,871.84/x
  3. Step 3: Cross multiply
    13,440.96x = 20,173.92 × 6,871.84
  4. Step 4: Simplify right side
    13,440.96x = 138,631,950.41
  5. Step 5: Solve for x
    x = 138,631,950.41/13,440.96
  6. Step 6: Final answer
    x = 10,314.14

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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.