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Finding the Fourth Proportional to 20,193.40, 30,257.70 and 13,259.80

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Solution

The fourth proportional to 20,193.40, 30,257.70 and 13,259.80 is: 19,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.40 : 30,257.70 = 13,259.80 : x
  2. Step 2: Convert to fraction form
    20,193.40/30,257.70 = 13,259.80/x
  3. Step 3: Cross multiply
    20,193.40x = 30,257.70 × 13,259.80
  4. Step 4: Simplify right side
    20,193.40x = 401,211,050.46
  5. Step 5: Solve for x
    x = 401,211,050.46/20,193.40
  6. Step 6: Final answer
    x = 19,868.42

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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.