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Finding the Fourth Proportional to 13,488.14, 18,613.64 and 7,519.68

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Solution

The fourth proportional to 13,488.14, 18,613.64 and 7,519.68 is: 10,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.14 : 18,613.64 = 7,519.68 : x
  2. Step 2: Convert to fraction form
    13,488.14/18,613.64 = 7,519.68/x
  3. Step 3: Cross multiply
    13,488.14x = 18,613.64 × 7,519.68
  4. Step 4: Simplify right side
    13,488.14x = 139,968,616.44
  5. Step 5: Solve for x
    x = 139,968,616.44/13,488.14
  6. Step 6: Final answer
    x = 10,377.16

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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.