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Finding the Fourth Proportional to 24,537, 33,861.78 and 13,359.72

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Solution

The fourth proportional to 24,537, 33,861.78 and 13,359.72 is: 18,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537 : 33,861.78 = 13,359.72 : x
  2. Step 2: Convert to fraction form
    24,537/33,861.78 = 13,359.72/x
  3. Step 3: Cross multiply
    24,537x = 33,861.78 × 13,359.72
  4. Step 4: Simplify right side
    24,537x = 452,383,899.50
  5. Step 5: Solve for x
    x = 452,383,899.50/24,537
  6. Step 6: Final answer
    x = 18,436.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.