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Finding the Fourth Proportional to 16,602.58, 24,903.60 and 7,843.78

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Solution

The fourth proportional to 16,602.58, 24,903.60 and 7,843.78 is: 11,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.58 : 24,903.60 = 7,843.78 : x
  2. Step 2: Convert to fraction form
    16,602.58/24,903.60 = 7,843.78/x
  3. Step 3: Cross multiply
    16,602.58x = 24,903.60 × 7,843.78
  4. Step 4: Simplify right side
    16,602.58x = 195,338,359.61
  5. Step 5: Solve for x
    x = 195,338,359.61/16,602.58
  6. Step 6: Final answer
    x = 11,765.54

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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.