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Finding the Fourth Proportional to 13,706.24, 20,559.47 and 11,718.99

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Solution

The fourth proportional to 13,706.24, 20,559.47 and 11,718.99 is: 17,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.24 : 20,559.47 = 11,718.99 : x
  2. Step 2: Convert to fraction form
    13,706.24/20,559.47 = 11,718.99/x
  3. Step 3: Cross multiply
    13,706.24x = 20,559.47 × 11,718.99
  4. Step 4: Simplify right side
    13,706.24x = 240,936,164.74
  5. Step 5: Solve for x
    x = 240,936,164.74/13,706.24
  6. Step 6: Final answer
    x = 17,578.58

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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.