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Finding the Fourth Proportional to 24,666.24, 36,999.81 and 8,026.21

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Solution

The fourth proportional to 24,666.24, 36,999.81 and 8,026.21 is: 12,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666.24 : 36,999.81 = 8,026.21 : x
  2. Step 2: Convert to fraction form
    24,666.24/36,999.81 = 8,026.21/x
  3. Step 3: Cross multiply
    24,666.24x = 36,999.81 × 8,026.21
  4. Step 4: Simplify right side
    24,666.24x = 296,968,245.02
  5. Step 5: Solve for x
    x = 296,968,245.02/24,666.24
  6. Step 6: Final answer
    x = 12,039.46

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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.