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Finding the Fourth Proportional to 14,596.40, 20,142.19 and 8,628.64

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Solution

The fourth proportional to 14,596.40, 20,142.19 and 8,628.64 is: 11,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.40 : 20,142.19 = 8,628.64 : x
  2. Step 2: Convert to fraction form
    14,596.40/20,142.19 = 8,628.64/x
  3. Step 3: Cross multiply
    14,596.40x = 20,142.19 × 8,628.64
  4. Step 4: Simplify right side
    14,596.40x = 173,799,706.32
  5. Step 5: Solve for x
    x = 173,799,706.32/14,596.40
  6. Step 6: Final answer
    x = 11,907.03

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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.