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Finding the Fourth Proportional to 19,657.26, 29,489.13 and 9,796.86

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Solution

The fourth proportional to 19,657.26, 29,489.13 and 9,796.86 is: 14,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.26 : 29,489.13 = 9,796.86 : x
  2. Step 2: Convert to fraction form
    19,657.26/29,489.13 = 9,796.86/x
  3. Step 3: Cross multiply
    19,657.26x = 29,489.13 × 9,796.86
  4. Step 4: Simplify right side
    19,657.26x = 288,900,878.13
  5. Step 5: Solve for x
    x = 288,900,878.13/19,657.26
  6. Step 6: Final answer
    x = 14,696.90

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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.