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Finding the Fourth Proportional to 12,131.84, 18,199.38 and 4,235.96

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Solution

The fourth proportional to 12,131.84, 18,199.38 and 4,235.96 is: 6,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.84 : 18,199.38 = 4,235.96 : x
  2. Step 2: Convert to fraction form
    12,131.84/18,199.38 = 4,235.96/x
  3. Step 3: Cross multiply
    12,131.84x = 18,199.38 × 4,235.96
  4. Step 4: Simplify right side
    12,131.84x = 77,091,845.70
  5. Step 5: Solve for x
    x = 77,091,845.70/12,131.84
  6. Step 6: Final answer
    x = 6,354.51

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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.