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Finding the Fourth Proportional to 12,553.50, 18,830.25 and 5,161.98

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Solution

The fourth proportional to 12,553.50, 18,830.25 and 5,161.98 is: 7,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.50 : 18,830.25 = 5,161.98 : x
  2. Step 2: Convert to fraction form
    12,553.50/18,830.25 = 5,161.98/x
  3. Step 3: Cross multiply
    12,553.50x = 18,830.25 × 5,161.98
  4. Step 4: Simplify right side
    12,553.50x = 97,201,373.90
  5. Step 5: Solve for x
    x = 97,201,373.90/12,553.50
  6. Step 6: Final answer
    x = 7,742.97

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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.