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Finding the Fourth Proportional to 12,578.67, 18,857.16 and 5,178.51

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Solution

The fourth proportional to 12,578.67, 18,857.16 and 5,178.51 is: 7,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.67 : 18,857.16 = 5,178.51 : x
  2. Step 2: Convert to fraction form
    12,578.67/18,857.16 = 5,178.51/x
  3. Step 3: Cross multiply
    12,578.67x = 18,857.16 × 5,178.51
  4. Step 4: Simplify right side
    12,578.67x = 97,651,991.63
  5. Step 5: Solve for x
    x = 97,651,991.63/12,578.67
  6. Step 6: Final answer
    x = 7,763.30

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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.