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Finding the Fourth Proportional to 19,648.29, 29,469.51 and 7,165.38

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Solution

The fourth proportional to 19,648.29, 29,469.51 and 7,165.38 is: 10,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.29 : 29,469.51 = 7,165.38 : x
  2. Step 2: Convert to fraction form
    19,648.29/29,469.51 = 7,165.38/x
  3. Step 3: Cross multiply
    19,648.29x = 29,469.51 × 7,165.38
  4. Step 4: Simplify right side
    19,648.29x = 211,160,237.56
  5. Step 5: Solve for x
    x = 211,160,237.56/19,648.29
  6. Step 6: Final answer
    x = 10,747.00

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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.