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Finding the Fourth Proportional to 12,135.84, 18,202.92 and 4,738.92

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Solution

The fourth proportional to 12,135.84, 18,202.92 and 4,738.92 is: 7,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.84 : 18,202.92 = 4,738.92 : x
  2. Step 2: Convert to fraction form
    12,135.84/18,202.92 = 4,738.92/x
  3. Step 3: Cross multiply
    12,135.84x = 18,202.92 × 4,738.92
  4. Step 4: Simplify right side
    12,135.84x = 86,262,181.65
  5. Step 5: Solve for x
    x = 86,262,181.65/12,135.84
  6. Step 6: Final answer
    x = 7,108.05

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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.