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Finding the Fourth Proportional to 16,578.41, 24,858.72 and 8,661.76

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Solution

The fourth proportional to 16,578.41, 24,858.72 and 8,661.76 is: 12,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.41 : 24,858.72 = 8,661.76 : x
  2. Step 2: Convert to fraction form
    16,578.41/24,858.72 = 8,661.76/x
  3. Step 3: Cross multiply
    16,578.41x = 24,858.72 × 8,661.76
  4. Step 4: Simplify right side
    16,578.41x = 215,320,204.40
  5. Step 5: Solve for x
    x = 215,320,204.40/16,578.41
  6. Step 6: Final answer
    x = 12,987.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.