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Finding the Fourth Proportional to 24,474.75, 33,775.16 and 14,538.75

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Solution

The fourth proportional to 24,474.75, 33,775.16 and 14,538.75 is: 20,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.75 : 33,775.16 = 14,538.75 : x
  2. Step 2: Convert to fraction form
    24,474.75/33,775.16 = 14,538.75/x
  3. Step 3: Cross multiply
    24,474.75x = 33,775.16 × 14,538.75
  4. Step 4: Simplify right side
    24,474.75x = 491,048,534.76
  5. Step 5: Solve for x
    x = 491,048,534.76/24,474.75
  6. Step 6: Final answer
    x = 20,063.48

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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.