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Finding the Fourth Proportional to 17,878.53, 24,672.41 and 9,920.77

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Solution

The fourth proportional to 17,878.53, 24,672.41 and 9,920.77 is: 13,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.53 : 24,672.41 = 9,920.77 : x
  2. Step 2: Convert to fraction form
    17,878.53/24,672.41 = 9,920.77/x
  3. Step 3: Cross multiply
    17,878.53x = 24,672.41 × 9,920.77
  4. Step 4: Simplify right side
    17,878.53x = 244,769,255.35
  5. Step 5: Solve for x
    x = 244,769,255.35/17,878.53
  6. Step 6: Final answer
    x = 13,690.69

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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.