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Finding the Fourth Proportional to 11,835.54, 16,318.53 and 9,589.14

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Solution

The fourth proportional to 11,835.54, 16,318.53 and 9,589.14 is: 13,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.54 : 16,318.53 = 9,589.14 : x
  2. Step 2: Convert to fraction form
    11,835.54/16,318.53 = 9,589.14/x
  3. Step 3: Cross multiply
    11,835.54x = 16,318.53 × 9,589.14
  4. Step 4: Simplify right side
    11,835.54x = 156,480,668.76
  5. Step 5: Solve for x
    x = 156,480,668.76/11,835.54
  6. Step 6: Final answer
    x = 13,221.25

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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.