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Finding the Fourth Proportional to 19,489.38, 29,242.71 and 7,174.50

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Solution

The fourth proportional to 19,489.38, 29,242.71 and 7,174.50 is: 10,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.38 : 29,242.71 = 7,174.50 : x
  2. Step 2: Convert to fraction form
    19,489.38/29,242.71 = 7,174.50/x
  3. Step 3: Cross multiply
    19,489.38x = 29,242.71 × 7,174.50
  4. Step 4: Simplify right side
    19,489.38x = 209,801,822.90
  5. Step 5: Solve for x
    x = 209,801,822.90/19,489.38
  6. Step 6: Final answer
    x = 10,764.93

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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.