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Finding the Fourth Proportional to 23,596.38, 32,576.40 and 15,649.32

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Solution

The fourth proportional to 23,596.38, 32,576.40 and 15,649.32 is: 21,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.38 : 32,576.40 = 15,649.32 : x
  2. Step 2: Convert to fraction form
    23,596.38/32,576.40 = 15,649.32/x
  3. Step 3: Cross multiply
    23,596.38x = 32,576.40 × 15,649.32
  4. Step 4: Simplify right side
    23,596.38x = 509,798,508.05
  5. Step 5: Solve for x
    x = 509,798,508.05/23,596.38
  6. Step 6: Final answer
    x = 21,604.95

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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.