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Finding the Fourth Proportional to 20,720.80, 31,080.64 and 5,138.24

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Solution

The fourth proportional to 20,720.80, 31,080.64 and 5,138.24 is: 7,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720.80 : 31,080.64 = 5,138.24 : x
  2. Step 2: Convert to fraction form
    20,720.80/31,080.64 = 5,138.24/x
  3. Step 3: Cross multiply
    20,720.80x = 31,080.64 × 5,138.24
  4. Step 4: Simplify right side
    20,720.80x = 159,699,787.67
  5. Step 5: Solve for x
    x = 159,699,787.67/20,720.80
  6. Step 6: Final answer
    x = 7,707.22

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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.