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Finding the Fourth Proportional to 24,013.10, 36,011.95 and 7,999.20

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Solution

The fourth proportional to 24,013.10, 36,011.95 and 7,999.20 is: 11,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.10 : 36,011.95 = 7,999.20 : x
  2. Step 2: Convert to fraction form
    24,013.10/36,011.95 = 7,999.20/x
  3. Step 3: Cross multiply
    24,013.10x = 36,011.95 × 7,999.20
  4. Step 4: Simplify right side
    24,013.10x = 288,066,790.44
  5. Step 5: Solve for x
    x = 288,066,790.44/24,013.10
  6. Step 6: Final answer
    x = 11,996.23

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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.