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Finding the Fourth Proportional to 11,833.24, 16,323.72 and 9,597.64

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Solution

The fourth proportional to 11,833.24, 16,323.72 and 9,597.64 is: 13,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.24 : 16,323.72 = 9,597.64 : x
  2. Step 2: Convert to fraction form
    11,833.24/16,323.72 = 9,597.64/x
  3. Step 3: Cross multiply
    11,833.24x = 16,323.72 × 9,597.64
  4. Step 4: Simplify right side
    11,833.24x = 156,669,188.02
  5. Step 5: Solve for x
    x = 156,669,188.02/11,833.24
  6. Step 6: Final answer
    x = 13,239.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.