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Finding the Fourth Proportional to 13,489.16, 18,613.62 and 7,519.70

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Solution

The fourth proportional to 13,489.16, 18,613.62 and 7,519.70 is: 10,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.16 : 18,613.62 = 7,519.70 : x
  2. Step 2: Convert to fraction form
    13,489.16/18,613.62 = 7,519.70/x
  3. Step 3: Cross multiply
    13,489.16x = 18,613.62 × 7,519.70
  4. Step 4: Simplify right side
    13,489.16x = 139,968,838.31
  5. Step 5: Solve for x
    x = 139,968,838.31/13,489.16
  6. Step 6: Final answer
    x = 10,376.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.