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Finding the Fourth Proportional to 24,503.82, 33,817.10 and 13,749.95

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Solution

The fourth proportional to 24,503.82, 33,817.10 and 13,749.95 is: 18,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.82 : 33,817.10 = 13,749.95 : x
  2. Step 2: Convert to fraction form
    24,503.82/33,817.10 = 13,749.95/x
  3. Step 3: Cross multiply
    24,503.82x = 33,817.10 × 13,749.95
  4. Step 4: Simplify right side
    24,503.82x = 464,983,449.94
  5. Step 5: Solve for x
    x = 464,983,449.94/24,503.82
  6. Step 6: Final answer
    x = 18,975.96

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1.5x scale

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.