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Finding the Fourth Proportional to 19,814.38, 29,720.09 and 7,328.57

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Solution

The fourth proportional to 19,814.38, 29,720.09 and 7,328.57 is: 10,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.38 : 29,720.09 = 7,328.57 : x
  2. Step 2: Convert to fraction form
    19,814.38/29,720.09 = 7,328.57/x
  3. Step 3: Cross multiply
    19,814.38x = 29,720.09 × 7,328.57
  4. Step 4: Simplify right side
    19,814.38x = 217,805,629.69
  5. Step 5: Solve for x
    x = 217,805,629.69/19,814.38
  6. Step 6: Final answer
    x = 10,992.30

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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.