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Finding the Fourth Proportional to 23,296.25, 32,147.84 and 12,685.85

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Solution

The fourth proportional to 23,296.25, 32,147.84 and 12,685.85 is: 17,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.25 : 32,147.84 = 12,685.85 : x
  2. Step 2: Convert to fraction form
    23,296.25/32,147.84 = 12,685.85/x
  3. Step 3: Cross multiply
    23,296.25x = 32,147.84 × 12,685.85
  4. Step 4: Simplify right side
    23,296.25x = 407,822,451.90
  5. Step 5: Solve for x
    x = 407,822,451.90/23,296.25
  6. Step 6: Final answer
    x = 17,505.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.