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Finding the Fourth Proportional to 19,823.67, 29,731.19 and 6,675.75

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Solution

The fourth proportional to 19,823.67, 29,731.19 and 6,675.75 is: 10,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.67 : 29,731.19 = 6,675.75 : x
  2. Step 2: Convert to fraction form
    19,823.67/29,731.19 = 6,675.75/x
  3. Step 3: Cross multiply
    19,823.67x = 29,731.19 × 6,675.75
  4. Step 4: Simplify right side
    19,823.67x = 198,477,958.26
  5. Step 5: Solve for x
    x = 198,477,958.26/19,823.67
  6. Step 6: Final answer
    x = 10,012.17

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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.