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Finding the Fourth Proportional to 20,780.55, 31,163.54 and 9,685.17

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Solution

The fourth proportional to 20,780.55, 31,163.54 and 9,685.17 is: 14,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.55 : 31,163.54 = 9,685.17 : x
  2. Step 2: Convert to fraction form
    20,780.55/31,163.54 = 9,685.17/x
  3. Step 3: Cross multiply
    20,780.55x = 31,163.54 × 9,685.17
  4. Step 4: Simplify right side
    20,780.55x = 301,824,134.28
  5. Step 5: Solve for x
    x = 301,824,134.28/20,780.55
  6. Step 6: Final answer
    x = 14,524.36

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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.