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Finding the Fourth Proportional to 20,685.79, 31,024 and 5,894.38

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Solution

The fourth proportional to 20,685.79, 31,024 and 5,894.38 is: 8,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.79 : 31,024 = 5,894.38 : x
  2. Step 2: Convert to fraction form
    20,685.79/31,024 = 5,894.38/x
  3. Step 3: Cross multiply
    20,685.79x = 31,024 × 5,894.38
  4. Step 4: Simplify right side
    20,685.79x = 182,867,245.12
  5. Step 5: Solve for x
    x = 182,867,245.12/20,685.79
  6. Step 6: Final answer
    x = 8,840.24

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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.