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Finding the Fourth Proportional to 20,475.70, 30,774.14 and 16,988.33

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Solution

The fourth proportional to 20,475.70, 30,774.14 and 16,988.33 is: 25,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.70 : 30,774.14 = 16,988.33 : x
  2. Step 2: Convert to fraction form
    20,475.70/30,774.14 = 16,988.33/x
  3. Step 3: Cross multiply
    20,475.70x = 30,774.14 × 16,988.33
  4. Step 4: Simplify right side
    20,475.70x = 522,801,245.79
  5. Step 5: Solve for x
    x = 522,801,245.79/20,475.70
  6. Step 6: Final answer
    x = 25,532.77

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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.