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Finding the Fourth Proportional to 24,849.86, 37,247.66 and 12,208.32

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Solution

The fourth proportional to 24,849.86, 37,247.66 and 12,208.32 is: 18,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849.86 : 37,247.66 = 12,208.32 : x
  2. Step 2: Convert to fraction form
    24,849.86/37,247.66 = 12,208.32/x
  3. Step 3: Cross multiply
    24,849.86x = 37,247.66 × 12,208.32
  4. Step 4: Simplify right side
    24,849.86x = 454,731,405.94
  5. Step 5: Solve for x
    x = 454,731,405.94/24,849.86
  6. Step 6: Final answer
    x = 18,299.16

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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.