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Finding the Fourth Proportional to 14,578.96, 20,118.78 and 8,205.52

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Solution

The fourth proportional to 14,578.96, 20,118.78 and 8,205.52 is: 11,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.96 : 20,118.78 = 8,205.52 : x
  2. Step 2: Convert to fraction form
    14,578.96/20,118.78 = 8,205.52/x
  3. Step 3: Cross multiply
    14,578.96x = 20,118.78 × 8,205.52
  4. Step 4: Simplify right side
    14,578.96x = 165,085,051.67
  5. Step 5: Solve for x
    x = 165,085,051.67/14,578.96
  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.