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Finding the Fourth Proportional to 13,740.81, 20,611.16 and 5,842.10

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Solution

The fourth proportional to 13,740.81, 20,611.16 and 5,842.10 is: 8,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.81 : 20,611.16 = 5,842.10 : x
  2. Step 2: Convert to fraction form
    13,740.81/20,611.16 = 5,842.10/x
  3. Step 3: Cross multiply
    13,740.81x = 20,611.16 × 5,842.10
  4. Step 4: Simplify right side
    13,740.81x = 120,412,325.57
  5. Step 5: Solve for x
    x = 120,412,325.57/13,740.81
  6. Step 6: Final answer
    x = 8,763.12

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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.