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Finding the Fourth Proportional to 19,685.90, 29,531.83 and 6,354.44

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Solution

The fourth proportional to 19,685.90, 29,531.83 and 6,354.44 is: 9,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.90 : 29,531.83 = 6,354.44 : x
  2. Step 2: Convert to fraction form
    19,685.90/29,531.83 = 6,354.44/x
  3. Step 3: Cross multiply
    19,685.90x = 29,531.83 × 6,354.44
  4. Step 4: Simplify right side
    19,685.90x = 187,658,210.05
  5. Step 5: Solve for x
    x = 187,658,210.05/19,685.90
  6. Step 6: Final answer
    x = 9,532.62

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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.