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Finding the Fourth Proportional to 23,828.86, 35,743.55 and 7,189.04

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Solution

The fourth proportional to 23,828.86, 35,743.55 and 7,189.04 is: 10,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.86 : 35,743.55 = 7,189.04 : x
  2. Step 2: Convert to fraction form
    23,828.86/35,743.55 = 7,189.04/x
  3. Step 3: Cross multiply
    23,828.86x = 35,743.55 × 7,189.04
  4. Step 4: Simplify right side
    23,828.86x = 256,961,596.03
  5. Step 5: Solve for x
    x = 256,961,596.03/23,828.86
  6. Step 6: Final answer
    x = 10,783.63

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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.