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Finding the Fourth Proportional to 24,010.34, 36,021.33 and 7,999.83

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Solution

The fourth proportional to 24,010.34, 36,021.33 and 7,999.83 is: 12,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,010.34 : 36,021.33 = 7,999.83 : x
  2. Step 2: Convert to fraction form
    24,010.34/36,021.33 = 7,999.83/x
  3. Step 3: Cross multiply
    24,010.34x = 36,021.33 × 7,999.83
  4. Step 4: Simplify right side
    24,010.34x = 288,164,516.37
  5. Step 5: Solve for x
    x = 288,164,516.37/24,010.34
  6. Step 6: Final answer
    x = 12,001.69

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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.