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Finding the Fourth Proportional to 20,655.07, 30,981 and 6,616.56

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Solution

The fourth proportional to 20,655.07, 30,981 and 6,616.56 is: 9,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.07 : 30,981 = 6,616.56 : x
  2. Step 2: Convert to fraction form
    20,655.07/30,981 = 6,616.56/x
  3. Step 3: Cross multiply
    20,655.07x = 30,981 × 6,616.56
  4. Step 4: Simplify right side
    20,655.07x = 204,987,490.46
  5. Step 5: Solve for x
    x = 204,987,490.46/20,655.07
  6. Step 6: Final answer
    x = 9,924.32

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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.