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Finding the Fourth Proportional to 14,596.25, 20,138.66 and 8,220.61

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Solution

The fourth proportional to 14,596.25, 20,138.66 and 8,220.61 is: 11,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.25 : 20,138.66 = 8,220.61 : x
  2. Step 2: Convert to fraction form
    14,596.25/20,138.66 = 8,220.61/x
  3. Step 3: Cross multiply
    14,596.25x = 20,138.66 × 8,220.61
  4. Step 4: Simplify right side
    14,596.25x = 165,552,191.93
  5. Step 5: Solve for x
    x = 165,552,191.93/14,596.25
  6. Step 6: Final answer
    x = 11,342.10

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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.