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Finding the Fourth Proportional to 19,936, 29,905.20 and 6,085.12

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Solution

The fourth proportional to 19,936, 29,905.20 and 6,085.12 is: 9,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 29,905.20 = 6,085.12 : x
  2. Step 2: Convert to fraction form
    19,936/29,905.20 = 6,085.12/x
  3. Step 3: Cross multiply
    19,936x = 29,905.20 × 6,085.12
  4. Step 4: Simplify right side
    19,936x = 181,976,730.62
  5. Step 5: Solve for x
    x = 181,976,730.62/19,936
  6. Step 6: Final answer
    x = 9,128.05

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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.