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Finding the Fourth Proportional to 13,740.60, 20,616.30 and 5,419.20

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Solution

The fourth proportional to 13,740.60, 20,616.30 and 5,419.20 is: 8,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.60 : 20,616.30 = 5,419.20 : x
  2. Step 2: Convert to fraction form
    13,740.60/20,616.30 = 5,419.20/x
  3. Step 3: Cross multiply
    13,740.60x = 20,616.30 × 5,419.20
  4. Step 4: Simplify right side
    13,740.60x = 111,723,852.96
  5. Step 5: Solve for x
    x = 111,723,852.96/13,740.60
  6. Step 6: Final answer
    x = 8,130.93

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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.