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Finding the Fourth Proportional to 12,596.38, 17,390.21 and 8,353.21

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Solution

The fourth proportional to 12,596.38, 17,390.21 and 8,353.21 is: 11,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.38 : 17,390.21 = 8,353.21 : x
  2. Step 2: Convert to fraction form
    12,596.38/17,390.21 = 8,353.21/x
  3. Step 3: Cross multiply
    12,596.38x = 17,390.21 × 8,353.21
  4. Step 4: Simplify right side
    12,596.38x = 145,264,034.31
  5. Step 5: Solve for x
    x = 145,264,034.31/12,596.38
  6. Step 6: Final answer
    x = 11,532.20

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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.