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Finding the Fourth Proportional to 17,787, 24,517.53 and 12,042.63

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Solution

The fourth proportional to 17,787, 24,517.53 and 12,042.63 is: 16,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787 : 24,517.53 = 12,042.63 : x
  2. Step 2: Convert to fraction form
    17,787/24,517.53 = 12,042.63/x
  3. Step 3: Cross multiply
    17,787x = 24,517.53 × 12,042.63
  4. Step 4: Simplify right side
    17,787x = 295,255,542.30
  5. Step 5: Solve for x
    x = 295,255,542.30/17,787
  6. Step 6: Final answer
    x = 16,599.51

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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.