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Finding the Fourth Proportional to 24,662.94, 36,971.32 and 12,009.93

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Solution

The fourth proportional to 24,662.94, 36,971.32 and 12,009.93 is: 18,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,662.94 : 36,971.32 = 12,009.93 : x
  2. Step 2: Convert to fraction form
    24,662.94/36,971.32 = 12,009.93/x
  3. Step 3: Cross multiply
    24,662.94x = 36,971.32 × 12,009.93
  4. Step 4: Simplify right side
    24,662.94x = 444,022,965.21
  5. Step 5: Solve for x
    x = 444,022,965.21/24,662.94
  6. Step 6: Final answer
    x = 18,003.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.