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Finding the Fourth Proportional to 11,636.28, 17,438.69 and 8,342.10

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Solution

The fourth proportional to 11,636.28, 17,438.69 and 8,342.10 is: 12,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.28 : 17,438.69 = 8,342.10 : x
  2. Step 2: Convert to fraction form
    11,636.28/17,438.69 = 8,342.10/x
  3. Step 3: Cross multiply
    11,636.28x = 17,438.69 × 8,342.10
  4. Step 4: Simplify right side
    11,636.28x = 145,475,297.74
  5. Step 5: Solve for x
    x = 145,475,297.74/11,636.28
  6. Step 6: Final answer
    x = 12,501.87

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