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Finding the Fourth Proportional to 14,576.58, 21,845.42 and 8,338.50

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Solution

The fourth proportional to 14,576.58, 21,845.42 and 8,338.50 is: 12,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.58 : 21,845.42 = 8,338.50 : x
  2. Step 2: Convert to fraction form
    14,576.58/21,845.42 = 8,338.50/x
  3. Step 3: Cross multiply
    14,576.58x = 21,845.42 × 8,338.50
  4. Step 4: Simplify right side
    14,576.58x = 182,158,034.67
  5. Step 5: Solve for x
    x = 182,158,034.67/14,576.58
  6. Step 6: Final answer
    x = 12,496.62

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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.