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Finding the Fourth Proportional to 13,706.57, 20,558.94 and 5,387.99

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Solution

The fourth proportional to 13,706.57, 20,558.94 and 5,387.99 is: 8,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.57 : 20,558.94 = 5,387.99 : x
  2. Step 2: Convert to fraction form
    13,706.57/20,558.94 = 5,387.99/x
  3. Step 3: Cross multiply
    13,706.57x = 20,558.94 × 5,387.99
  4. Step 4: Simplify right side
    13,706.57x = 110,771,428.75
  5. Step 5: Solve for x
    x = 110,771,428.75/13,706.57
  6. Step 6: Final answer
    x = 8,081.63

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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.