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Finding the Fourth Proportional to 24,611.88, 33,964.50 and 13,434.12

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Solution

The fourth proportional to 24,611.88, 33,964.50 and 13,434.12 is: 18,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611.88 : 33,964.50 = 13,434.12 : x
  2. Step 2: Convert to fraction form
    24,611.88/33,964.50 = 13,434.12/x
  3. Step 3: Cross multiply
    24,611.88x = 33,964.50 × 13,434.12
  4. Step 4: Simplify right side
    24,611.88x = 456,283,168.74
  5. Step 5: Solve for x
    x = 456,283,168.74/24,611.88
  6. Step 6: Final answer
    x = 18,539.14

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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.