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Finding the Fourth Proportional to 12,431.70, 18,630.51 and 6,576.63

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Solution

The fourth proportional to 12,431.70, 18,630.51 and 6,576.63 is: 9,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.70 : 18,630.51 = 6,576.63 : x
  2. Step 2: Convert to fraction form
    12,431.70/18,630.51 = 6,576.63/x
  3. Step 3: Cross multiply
    12,431.70x = 18,630.51 × 6,576.63
  4. Step 4: Simplify right side
    12,431.70x = 122,525,970.98
  5. Step 5: Solve for x
    x = 122,525,970.98/12,431.70
  6. Step 6: Final answer
    x = 9,855.93

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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.