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Finding the Fourth Proportional to 21,815.68, 32,733.24 and 11,425

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Solution

The fourth proportional to 21,815.68, 32,733.24 and 11,425 is: 17,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,815.68 : 32,733.24 = 11,425 : x
  2. Step 2: Convert to fraction form
    21,815.68/32,733.24 = 11,425/x
  3. Step 3: Cross multiply
    21,815.68x = 32,733.24 × 11,425
  4. Step 4: Simplify right side
    21,815.68x = 373,977,267
  5. Step 5: Solve for x
    x = 373,977,267/21,815.68
  6. Step 6: Final answer
    x = 17,142.59

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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.