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Finding the Fourth Proportional to 20,205.70, 30,308.55 and 9,117.70

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Solution

The fourth proportional to 20,205.70, 30,308.55 and 9,117.70 is: 13,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.70 : 30,308.55 = 9,117.70 : x
  2. Step 2: Convert to fraction form
    20,205.70/30,308.55 = 9,117.70/x
  3. Step 3: Cross multiply
    20,205.70x = 30,308.55 × 9,117.70
  4. Step 4: Simplify right side
    20,205.70x = 276,344,266.34
  5. Step 5: Solve for x
    x = 276,344,266.34/20,205.70
  6. Step 6: Final answer
    x = 13,676.55

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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.