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Finding the Fourth Proportional to 14,919.36, 20,588.78 and 8,205.42

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Solution

The fourth proportional to 14,919.36, 20,588.78 and 8,205.42 is: 11,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.36 : 20,588.78 = 8,205.42 : x
  2. Step 2: Convert to fraction form
    14,919.36/20,588.78 = 8,205.42/x
  3. Step 3: Cross multiply
    14,919.36x = 20,588.78 × 8,205.42
  4. Step 4: Simplify right side
    14,919.36x = 168,939,587.19
  5. Step 5: Solve for x
    x = 168,939,587.19/14,919.36
  6. Step 6: Final answer
    x = 11,323.51

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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.