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Finding the Fourth Proportional to 12,406.76, 18,592.37 and 9,620.38

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Solution

The fourth proportional to 12,406.76, 18,592.37 and 9,620.38 is: 14,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.76 : 18,592.37 = 9,620.38 : x
  2. Step 2: Convert to fraction form
    12,406.76/18,592.37 = 9,620.38/x
  3. Step 3: Cross multiply
    12,406.76x = 18,592.37 × 9,620.38
  4. Step 4: Simplify right side
    12,406.76x = 178,865,664.50
  5. Step 5: Solve for x
    x = 178,865,664.50/12,406.76
  6. Step 6: Final answer
    x = 14,416.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.