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Finding the Fourth Proportional to 24,872.89, 37,303.81 and 7,338.61

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Solution

The fourth proportional to 24,872.89, 37,303.81 and 7,338.61 is: 11,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.89 : 37,303.81 = 7,338.61 : x
  2. Step 2: Convert to fraction form
    24,872.89/37,303.81 = 7,338.61/x
  3. Step 3: Cross multiply
    24,872.89x = 37,303.81 × 7,338.61
  4. Step 4: Simplify right side
    24,872.89x = 273,758,113.10
  5. Step 5: Solve for x
    x = 273,758,113.10/24,872.89
  6. Step 6: Final answer
    x = 11,006.28

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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.