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Finding the Fourth Proportional to 13,613.86, 20,412.78 and 7,292.26

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Solution

The fourth proportional to 13,613.86, 20,412.78 and 7,292.26 is: 10,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.86 : 20,412.78 = 7,292.26 : x
  2. Step 2: Convert to fraction form
    13,613.86/20,412.78 = 7,292.26/x
  3. Step 3: Cross multiply
    13,613.86x = 20,412.78 × 7,292.26
  4. Step 4: Simplify right side
    13,613.86x = 148,855,299.08
  5. Step 5: Solve for x
    x = 148,855,299.08/13,613.86
  6. Step 6: Final answer
    x = 10,934.10

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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.