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Finding the Fourth Proportional to 18,993.84, 28,490.82 and 5,142.84

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Solution

The fourth proportional to 18,993.84, 28,490.82 and 5,142.84 is: 7,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,993.84 : 28,490.82 = 5,142.84 : x
  2. Step 2: Convert to fraction form
    18,993.84/28,490.82 = 5,142.84/x
  3. Step 3: Cross multiply
    18,993.84x = 28,490.82 × 5,142.84
  4. Step 4: Simplify right side
    18,993.84x = 146,523,728.73
  5. Step 5: Solve for x
    x = 146,523,728.73/18,993.84
  6. Step 6: Final answer
    x = 7,714.28

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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.