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Finding the Fourth Proportional to 15,772.67, 21,765.37 and 9,406.47

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Solution

The fourth proportional to 15,772.67, 21,765.37 and 9,406.47 is: 12,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.67 : 21,765.37 = 9,406.47 : x
  2. Step 2: Convert to fraction form
    15,772.67/21,765.37 = 9,406.47/x
  3. Step 3: Cross multiply
    15,772.67x = 21,765.37 × 9,406.47
  4. Step 4: Simplify right side
    15,772.67x = 204,735,299.94
  5. Step 5: Solve for x
    x = 204,735,299.94/15,772.67
  6. Step 6: Final answer
    x = 12,980.38

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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.