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Finding the Fourth Proportional to 20,880.32, 31,313.64 and 6,090.24

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Solution

The fourth proportional to 20,880.32, 31,313.64 and 6,090.24 is: 9,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880.32 : 31,313.64 = 6,090.24 : x
  2. Step 2: Convert to fraction form
    20,880.32/31,313.64 = 6,090.24/x
  3. Step 3: Cross multiply
    20,880.32x = 31,313.64 × 6,090.24
  4. Step 4: Simplify right side
    20,880.32x = 190,707,582.87
  5. Step 5: Solve for x
    x = 190,707,582.87/20,880.32
  6. Step 6: Final answer
    x = 9,133.36

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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.