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Finding the Fourth Proportional to 19,858.20, 29,729.70 and 19,282.20

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Solution

The fourth proportional to 19,858.20, 29,729.70 and 19,282.20 is: 28,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.20 : 29,729.70 = 19,282.20 : x
  2. Step 2: Convert to fraction form
    19,858.20/29,729.70 = 19,282.20/x
  3. Step 3: Cross multiply
    19,858.20x = 29,729.70 × 19,282.20
  4. Step 4: Simplify right side
    19,858.20x = 573,254,021.34
  5. Step 5: Solve for x
    x = 573,254,021.34/19,858.20
  6. Step 6: Final answer
    x = 28,867.37

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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.