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Finding the Fourth Proportional to 23,674, 35,511.28 and 6,142.76

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Solution

The fourth proportional to 23,674, 35,511.28 and 6,142.76 is: 9,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674 : 35,511.28 = 6,142.76 : x
  2. Step 2: Convert to fraction form
    23,674/35,511.28 = 6,142.76/x
  3. Step 3: Cross multiply
    23,674x = 35,511.28 × 6,142.76
  4. Step 4: Simplify right side
    23,674x = 218,137,270.33
  5. Step 5: Solve for x
    x = 218,137,270.33/23,674
  6. Step 6: Final answer
    x = 9,214.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.