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Finding the Fourth Proportional to 12,409.47, 18,613.29 and 3,645.07

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Solution

The fourth proportional to 12,409.47, 18,613.29 and 3,645.07 is: 5,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.47 : 18,613.29 = 3,645.07 : x
  2. Step 2: Convert to fraction form
    12,409.47/18,613.29 = 3,645.07/x
  3. Step 3: Cross multiply
    12,409.47x = 18,613.29 × 3,645.07
  4. Step 4: Simplify right side
    12,409.47x = 67,846,712.12
  5. Step 5: Solve for x
    x = 67,846,712.12/12,409.47
  6. Step 6: Final answer
    x = 5,467.33

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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.