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Finding the Fourth Proportional to 11,835.45, 16,324.74 and 9,597.42

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Solution

The fourth proportional to 11,835.45, 16,324.74 and 9,597.42 is: 13,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.45 : 16,324.74 = 9,597.42 : x
  2. Step 2: Convert to fraction form
    11,835.45/16,324.74 = 9,597.42/x
  3. Step 3: Cross multiply
    11,835.45x = 16,324.74 × 9,597.42
  4. Step 4: Simplify right side
    11,835.45x = 156,675,386.17
  5. Step 5: Solve for x
    x = 156,675,386.17/11,835.45
  6. Step 6: Final answer
    x = 13,237.81

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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.