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Finding the Fourth Proportional to 19,980.84, 29,975.67 and 5,942.01

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Solution

The fourth proportional to 19,980.84, 29,975.67 and 5,942.01 is: 8,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.84 : 29,975.67 = 5,942.01 : x
  2. Step 2: Convert to fraction form
    19,980.84/29,975.67 = 5,942.01/x
  3. Step 3: Cross multiply
    19,980.84x = 29,975.67 × 5,942.01
  4. Step 4: Simplify right side
    19,980.84x = 178,115,730.90
  5. Step 5: Solve for x
    x = 178,115,730.90/19,980.84
  6. Step 6: Final answer
    x = 8,914.33

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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.