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Finding the Fourth Proportional to 24,457.50, 33,751.35 and 13,279.50

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Solution

The fourth proportional to 24,457.50, 33,751.35 and 13,279.50 is: 18,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.50 : 33,751.35 = 13,279.50 : x
  2. Step 2: Convert to fraction form
    24,457.50/33,751.35 = 13,279.50/x
  3. Step 3: Cross multiply
    24,457.50x = 33,751.35 × 13,279.50
  4. Step 4: Simplify right side
    24,457.50x = 448,201,052.33
  5. Step 5: Solve for x
    x = 448,201,052.33/24,457.50
  6. Step 6: Final answer
    x = 18,325.71

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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.