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Finding the Fourth Proportional to 11,632.96, 17,436.74 and 5,713.92

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Solution

The fourth proportional to 11,632.96, 17,436.74 and 5,713.92 is: 8,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.96 : 17,436.74 = 5,713.92 : x
  2. Step 2: Convert to fraction form
    11,632.96/17,436.74 = 5,713.92/x
  3. Step 3: Cross multiply
    11,632.96x = 17,436.74 × 5,713.92
  4. Step 4: Simplify right side
    11,632.96x = 99,632,137.42
  5. Step 5: Solve for x
    x = 99,632,137.42/11,632.96
  6. Step 6: Final answer
    x = 8,564.64

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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.