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Finding the Fourth Proportional to 11,214.38, 16,803.60 and 8,578.69

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Solution

The fourth proportional to 11,214.38, 16,803.60 and 8,578.69 is: 12,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.38 : 16,803.60 = 8,578.69 : x
  2. Step 2: Convert to fraction form
    11,214.38/16,803.60 = 8,578.69/x
  3. Step 3: Cross multiply
    11,214.38x = 16,803.60 × 8,578.69
  4. Step 4: Simplify right side
    11,214.38x = 144,152,849.36
  5. Step 5: Solve for x
    x = 144,152,849.36/11,214.38
  6. Step 6: Final answer
    x = 12,854.29

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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.