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Finding the Fourth Proportional to 19,632.38, 29,443.80 and 13,761.80

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Solution

The fourth proportional to 19,632.38, 29,443.80 and 13,761.80 is: 20,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632.38 : 29,443.80 = 13,761.80 : x
  2. Step 2: Convert to fraction form
    19,632.38/29,443.80 = 13,761.80/x
  3. Step 3: Cross multiply
    19,632.38x = 29,443.80 × 13,761.80
  4. Step 4: Simplify right side
    19,632.38x = 405,199,686.84
  5. Step 5: Solve for x
    x = 405,199,686.84/19,632.38
  6. Step 6: Final answer
    x = 20,639.36

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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.