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Finding the Fourth Proportional to 24,525, 33,841.80 and 13,914.72

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Solution

The fourth proportional to 24,525, 33,841.80 and 13,914.72 is: 19,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525 : 33,841.80 = 13,914.72 : x
  2. Step 2: Convert to fraction form
    24,525/33,841.80 = 13,914.72/x
  3. Step 3: Cross multiply
    24,525x = 33,841.80 × 13,914.72
  4. Step 4: Simplify right side
    24,525x = 470,899,171.30
  5. Step 5: Solve for x
    x = 470,899,171.30/24,525
  6. Step 6: Final answer
    x = 19,200.78

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