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Finding the Fourth Proportional to 20,574.24, 30,864.56 and 6,720

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Solution

The fourth proportional to 20,574.24, 30,864.56 and 6,720 is: 10,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.24 : 30,864.56 = 6,720 : x
  2. Step 2: Convert to fraction form
    20,574.24/30,864.56 = 6,720/x
  3. Step 3: Cross multiply
    20,574.24x = 30,864.56 × 6,720
  4. Step 4: Simplify right side
    20,574.24x = 207,409,843.20
  5. Step 5: Solve for x
    x = 207,409,843.20/20,574.24
  6. Step 6: Final answer
    x = 10,081.05

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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.