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Finding the Fourth Proportional to 20,771.16, 31,157.07 and 19,762.71

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Solution

The fourth proportional to 20,771.16, 31,157.07 and 19,762.71 is: 29,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.16 : 31,157.07 = 19,762.71 : x
  2. Step 2: Convert to fraction form
    20,771.16/31,157.07 = 19,762.71/x
  3. Step 3: Cross multiply
    20,771.16x = 31,157.07 × 19,762.71
  4. Step 4: Simplify right side
    20,771.16x = 615,748,138.86
  5. Step 5: Solve for x
    x = 615,748,138.86/20,771.16
  6. Step 6: Final answer
    x = 29,644.38

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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.