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Finding the Fourth Proportional to 16,576.14, 24,838.68 and 7,686

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Solution

The fourth proportional to 16,576.14, 24,838.68 and 7,686 is: 11,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.14 : 24,838.68 = 7,686 : x
  2. Step 2: Convert to fraction form
    16,576.14/24,838.68 = 7,686/x
  3. Step 3: Cross multiply
    16,576.14x = 24,838.68 × 7,686
  4. Step 4: Simplify right side
    16,576.14x = 190,910,094.48
  5. Step 5: Solve for x
    x = 190,910,094.48/16,576.14
  6. Step 6: Final answer
    x = 11,517.16

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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.