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Finding the Fourth Proportional to 24,115.80, 33,277.98 and 13,503

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Solution

The fourth proportional to 24,115.80, 33,277.98 and 13,503 is: 18,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.80 : 33,277.98 = 13,503 : x
  2. Step 2: Convert to fraction form
    24,115.80/33,277.98 = 13,503/x
  3. Step 3: Cross multiply
    24,115.80x = 33,277.98 × 13,503
  4. Step 4: Simplify right side
    24,115.80x = 449,352,563.94
  5. Step 5: Solve for x
    x = 449,352,563.94/24,115.80
  6. Step 6: Final answer
    x = 18,633.12

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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.