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Finding the Fourth Proportional to 20,775.40, 31,173.90 and 9,089.80

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Solution

The fourth proportional to 20,775.40, 31,173.90 and 9,089.80 is: 13,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.40 : 31,173.90 = 9,089.80 : x
  2. Step 2: Convert to fraction form
    20,775.40/31,173.90 = 9,089.80/x
  3. Step 3: Cross multiply
    20,775.40x = 31,173.90 × 9,089.80
  4. Step 4: Simplify right side
    20,775.40x = 283,364,516.22
  5. Step 5: Solve for x
    x = 283,364,516.22/20,775.40
  6. Step 6: Final answer
    x = 13,639.43

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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.