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Finding the Fourth Proportional to 24,964.32, 34,450.10 and 13,634.12

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Solution

The fourth proportional to 24,964.32, 34,450.10 and 13,634.12 is: 18,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,964.32 : 34,450.10 = 13,634.12 : x
  2. Step 2: Convert to fraction form
    24,964.32/34,450.10 = 13,634.12/x
  3. Step 3: Cross multiply
    24,964.32x = 34,450.10 × 13,634.12
  4. Step 4: Simplify right side
    24,964.32x = 469,696,797.41
  5. Step 5: Solve for x
    x = 469,696,797.41/24,964.32
  6. Step 6: Final answer
    x = 18,814.72

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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.