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Finding the Fourth Proportional to 12,427.62, 18,644.67 and 4,636.50

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Solution

The fourth proportional to 12,427.62, 18,644.67 and 4,636.50 is: 6,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.62 : 18,644.67 = 4,636.50 : x
  2. Step 2: Convert to fraction form
    12,427.62/18,644.67 = 4,636.50/x
  3. Step 3: Cross multiply
    12,427.62x = 18,644.67 × 4,636.50
  4. Step 4: Simplify right side
    12,427.62x = 86,446,012.46
  5. Step 5: Solve for x
    x = 86,446,012.46/12,427.62
  6. Step 6: Final answer
    x = 6,955.96

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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.