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Finding the Fourth Proportional to 17,878.41, 24,672.22 and 9,920.63

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Solution

The fourth proportional to 17,878.41, 24,672.22 and 9,920.63 is: 13,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.41 : 24,672.22 = 9,920.63 : x
  2. Step 2: Convert to fraction form
    17,878.41/24,672.22 = 9,920.63/x
  3. Step 3: Cross multiply
    17,878.41x = 24,672.22 × 9,920.63
  4. Step 4: Simplify right side
    17,878.41x = 244,764,002.78
  5. Step 5: Solve for x
    x = 244,764,002.78/17,878.41
  6. Step 6: Final answer
    x = 13,690.48

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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.