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Finding the Fourth Proportional to 15,462.41, 21,338.03 and 8,388.68

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Solution

The fourth proportional to 15,462.41, 21,338.03 and 8,388.68 is: 11,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.41 : 21,338.03 = 8,388.68 : x
  2. Step 2: Convert to fraction form
    15,462.41/21,338.03 = 8,388.68/x
  3. Step 3: Cross multiply
    15,462.41x = 21,338.03 × 8,388.68
  4. Step 4: Simplify right side
    15,462.41x = 178,997,827.99
  5. Step 5: Solve for x
    x = 178,997,827.99/15,462.41
  6. Step 6: Final answer
    x = 11,576.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.