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Finding the Fourth Proportional to 14,919.26, 20,588.72 and 8,204.93

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Solution

The fourth proportional to 14,919.26, 20,588.72 and 8,204.93 is: 11,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.26 : 20,588.72 = 8,204.93 : x
  2. Step 2: Convert to fraction form
    14,919.26/20,588.72 = 8,204.93/x
  3. Step 3: Cross multiply
    14,919.26x = 20,588.72 × 8,204.93
  4. Step 4: Simplify right side
    14,919.26x = 168,928,862.42
  5. Step 5: Solve for x
    x = 168,928,862.42/14,919.26
  6. Step 6: Final answer
    x = 11,322.88

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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.