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Finding the Fourth Proportional to 12,024.85, 18,025.03 and 8,129.65

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Solution

The fourth proportional to 12,024.85, 18,025.03 and 8,129.65 is: 12,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.85 : 18,025.03 = 8,129.65 : x
  2. Step 2: Convert to fraction form
    12,024.85/18,025.03 = 8,129.65/x
  3. Step 3: Cross multiply
    12,024.85x = 18,025.03 × 8,129.65
  4. Step 4: Simplify right side
    12,024.85x = 146,537,185.14
  5. Step 5: Solve for x
    x = 146,537,185.14/12,024.85
  6. Step 6: Final answer
    x = 12,186.20

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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.