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Finding the Fourth Proportional to 15,743.66, 23,615.54 and 6,383.84

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Solution

The fourth proportional to 15,743.66, 23,615.54 and 6,383.84 is: 9,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,743.66 : 23,615.54 = 6,383.84 : x
  2. Step 2: Convert to fraction form
    15,743.66/23,615.54 = 6,383.84/x
  3. Step 3: Cross multiply
    15,743.66x = 23,615.54 × 6,383.84
  4. Step 4: Simplify right side
    15,743.66x = 150,757,828.87
  5. Step 5: Solve for x
    x = 150,757,828.87/15,743.66
  6. Step 6: Final answer
    x = 9,575.78

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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.