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Finding the Fourth Proportional to 11,636.24, 17,458.76 and 5,399.24

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Solution

The fourth proportional to 11,636.24, 17,458.76 and 5,399.24 is: 8,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.24 : 17,458.76 = 5,399.24 : x
  2. Step 2: Convert to fraction form
    11,636.24/17,458.76 = 5,399.24/x
  3. Step 3: Cross multiply
    11,636.24x = 17,458.76 × 5,399.24
  4. Step 4: Simplify right side
    11,636.24x = 94,264,035.34
  5. Step 5: Solve for x
    x = 94,264,035.34/11,636.24
  6. Step 6: Final answer
    x = 8,100.90

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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.