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Finding the Fourth Proportional to 20,615.07, 30,922.74 and 5,823.93

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Solution

The fourth proportional to 20,615.07, 30,922.74 and 5,823.93 is: 8,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.07 : 30,922.74 = 5,823.93 : x
  2. Step 2: Convert to fraction form
    20,615.07/30,922.74 = 5,823.93/x
  3. Step 3: Cross multiply
    20,615.07x = 30,922.74 × 5,823.93
  4. Step 4: Simplify right side
    20,615.07x = 180,091,873.17
  5. Step 5: Solve for x
    x = 180,091,873.17/20,615.07
  6. Step 6: Final answer
    x = 8,735.93

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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.