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Finding the Fourth Proportional to 14,919.29, 20,588.19 and 8,204.91

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Solution

The fourth proportional to 14,919.29, 20,588.19 and 8,204.91 is: 11,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.29 : 20,588.19 = 8,204.91 : x
  2. Step 2: Convert to fraction form
    14,919.29/20,588.19 = 8,204.91/x
  3. Step 3: Cross multiply
    14,919.29x = 20,588.19 × 8,204.91
  4. Step 4: Simplify right side
    14,919.29x = 168,924,204.99
  5. Step 5: Solve for x
    x = 168,924,204.99/14,919.29
  6. Step 6: Final answer
    x = 11,322.54

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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.