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Finding the Fourth Proportional to 16,575.34, 24,862.40 and 5,481.76

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Solution

The fourth proportional to 16,575.34, 24,862.40 and 5,481.76 is: 8,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.34 : 24,862.40 = 5,481.76 : x
  2. Step 2: Convert to fraction form
    16,575.34/24,862.40 = 5,481.76/x
  3. Step 3: Cross multiply
    16,575.34x = 24,862.40 × 5,481.76
  4. Step 4: Simplify right side
    16,575.34x = 136,289,709.82
  5. Step 5: Solve for x
    x = 136,289,709.82/16,575.34
  6. Step 6: Final answer
    x = 8,222.44

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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.