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Finding the Fourth Proportional to 20,722.82, 31,024.02 and 18,585.64

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Solution

The fourth proportional to 20,722.82, 31,024.02 and 18,585.64 is: 27,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.82 : 31,024.02 = 18,585.64 : x
  2. Step 2: Convert to fraction form
    20,722.82/31,024.02 = 18,585.64/x
  3. Step 3: Cross multiply
    20,722.82x = 31,024.02 × 18,585.64
  4. Step 4: Simplify right side
    20,722.82x = 576,601,267.07
  5. Step 5: Solve for x
    x = 576,601,267.07/20,722.82
  6. Step 6: Final answer
    x = 27,824.46

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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.