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Finding the Fourth Proportional to 19,883.34, 29,817.63 and 5,839.50

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Solution

The fourth proportional to 19,883.34, 29,817.63 and 5,839.50 is: 8,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.34 : 29,817.63 = 5,839.50 : x
  2. Step 2: Convert to fraction form
    19,883.34/29,817.63 = 5,839.50/x
  3. Step 3: Cross multiply
    19,883.34x = 29,817.63 × 5,839.50
  4. Step 4: Simplify right side
    19,883.34x = 174,120,050.39
  5. Step 5: Solve for x
    x = 174,120,050.39/19,883.34
  6. Step 6: Final answer
    x = 8,757.08

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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.