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Finding the Fourth Proportional to 12,412.56, 18,617.16 and 3,645.84

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Solution

The fourth proportional to 12,412.56, 18,617.16 and 3,645.84 is: 5,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.56 : 18,617.16 = 3,645.84 : x
  2. Step 2: Convert to fraction form
    12,412.56/18,617.16 = 3,645.84/x
  3. Step 3: Cross multiply
    12,412.56x = 18,617.16 × 3,645.84
  4. Step 4: Simplify right side
    12,412.56x = 67,875,186.61
  5. Step 5: Solve for x
    x = 67,875,186.61/12,412.56
  6. Step 6: Final answer
    x = 5,468.27

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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.