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Finding the Fourth Proportional to 24,002.63, 36,010.73 and 8,211.08

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Solution

The fourth proportional to 24,002.63, 36,010.73 and 8,211.08 is: 12,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.63 : 36,010.73 = 8,211.08 : x
  2. Step 2: Convert to fraction form
    24,002.63/36,010.73 = 8,211.08/x
  3. Step 3: Cross multiply
    24,002.63x = 36,010.73 × 8,211.08
  4. Step 4: Simplify right side
    24,002.63x = 295,686,984.89
  5. Step 5: Solve for x
    x = 295,686,984.89/24,002.63
  6. Step 6: Final answer
    x = 12,318.94

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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.