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Finding the Fourth Proportional to 13,506.27, 18,636.56 and 7,537.71

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Solution

The fourth proportional to 13,506.27, 18,636.56 and 7,537.71 is: 10,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.27 : 18,636.56 = 7,537.71 : x
  2. Step 2: Convert to fraction form
    13,506.27/18,636.56 = 7,537.71/x
  3. Step 3: Cross multiply
    13,506.27x = 18,636.56 × 7,537.71
  4. Step 4: Simplify right side
    13,506.27x = 140,476,946.99
  5. Step 5: Solve for x
    x = 140,476,946.99/13,506.27
  6. Step 6: Final answer
    x = 10,400.87

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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.