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Finding the Fourth Proportional to 11,720.55, 16,136.89 and 9,489.81

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Solution

The fourth proportional to 11,720.55, 16,136.89 and 9,489.81 is: 13,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.55 : 16,136.89 = 9,489.81 : x
  2. Step 2: Convert to fraction form
    11,720.55/16,136.89 = 9,489.81/x
  3. Step 3: Cross multiply
    11,720.55x = 16,136.89 × 9,489.81
  4. Step 4: Simplify right side
    11,720.55x = 153,136,020.09
  5. Step 5: Solve for x
    x = 153,136,020.09/11,720.55
  6. Step 6: Final answer
    x = 13,065.60

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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.