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Finding the Fourth Proportional to 20,512.17, 30,771.90 and 7,186.05

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Solution

The fourth proportional to 20,512.17, 30,771.90 and 7,186.05 is: 10,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.17 : 30,771.90 = 7,186.05 : x
  2. Step 2: Convert to fraction form
    20,512.17/30,771.90 = 7,186.05/x
  3. Step 3: Cross multiply
    20,512.17x = 30,771.90 × 7,186.05
  4. Step 4: Simplify right side
    20,512.17x = 221,128,412.00
  5. Step 5: Solve for x
    x = 221,128,412.00/20,512.17
  6. Step 6: Final answer
    x = 10,780.35

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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.