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Finding the Fourth Proportional to 12,412.12, 18,617.71 and 3,052.17

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Solution

The fourth proportional to 12,412.12, 18,617.71 and 3,052.17 is: 4,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.12 : 18,617.71 = 3,052.17 : x
  2. Step 2: Convert to fraction form
    12,412.12/18,617.71 = 3,052.17/x
  3. Step 3: Cross multiply
    12,412.12x = 18,617.71 × 3,052.17
  4. Step 4: Simplify right side
    12,412.12x = 56,824,415.93
  5. Step 5: Solve for x
    x = 56,824,415.93/12,412.12
  6. Step 6: Final answer
    x = 4,578.14

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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.