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Finding the Fourth Proportional to 16,309.21, 22,504.60 and 9,592.38

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Solution

The fourth proportional to 16,309.21, 22,504.60 and 9,592.38 is: 13,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.21 : 22,504.60 = 9,592.38 : x
  2. Step 2: Convert to fraction form
    16,309.21/22,504.60 = 9,592.38/x
  3. Step 3: Cross multiply
    16,309.21x = 22,504.60 × 9,592.38
  4. Step 4: Simplify right side
    16,309.21x = 215,872,750.23
  5. Step 5: Solve for x
    x = 215,872,750.23/16,309.21
  6. Step 6: Final answer
    x = 13,236.25

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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.