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Finding the Fourth Proportional to 12,665.12, 18,986.06 and 4,868.06

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Solution

The fourth proportional to 12,665.12, 18,986.06 and 4,868.06 is: 7,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.12 : 18,986.06 = 4,868.06 : x
  2. Step 2: Convert to fraction form
    12,665.12/18,986.06 = 4,868.06/x
  3. Step 3: Cross multiply
    12,665.12x = 18,986.06 × 4,868.06
  4. Step 4: Simplify right side
    12,665.12x = 92,425,279.24
  5. Step 5: Solve for x
    x = 92,425,279.24/12,665.12
  6. Step 6: Final answer
    x = 7,297.62

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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.