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Finding the Fourth Proportional to 21,858.62, 32,820.73 and 12,509.20

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Solution

The fourth proportional to 21,858.62, 32,820.73 and 12,509.20 is: 18,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.62 : 32,820.73 = 12,509.20 : x
  2. Step 2: Convert to fraction form
    21,858.62/32,820.73 = 12,509.20/x
  3. Step 3: Cross multiply
    21,858.62x = 32,820.73 × 12,509.20
  4. Step 4: Simplify right side
    21,858.62x = 410,560,911.61
  5. Step 5: Solve for x
    x = 410,560,911.61/21,858.62
  6. Step 6: Final answer
    x = 18,782.56

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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.