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Finding the Fourth Proportional to 15,786, 23,679.09 and 5,397.84

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Solution

The fourth proportional to 15,786, 23,679.09 and 5,397.84 is: 8,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 23,679.09 = 5,397.84 : x
  2. Step 2: Convert to fraction form
    15,786/23,679.09 = 5,397.84/x
  3. Step 3: Cross multiply
    15,786x = 23,679.09 × 5,397.84
  4. Step 4: Simplify right side
    15,786x = 127,815,939.17
  5. Step 5: Solve for x
    x = 127,815,939.17/15,786
  6. Step 6: Final answer
    x = 8,096.79

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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.