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Finding the Fourth Proportional to 14,640.96, 20,184.96 and 12,113.76

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Solution

The fourth proportional to 14,640.96, 20,184.96 and 12,113.76 is: 16,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.96 : 20,184.96 = 12,113.76 : x
  2. Step 2: Convert to fraction form
    14,640.96/20,184.96 = 12,113.76/x
  3. Step 3: Cross multiply
    14,640.96x = 20,184.96 × 12,113.76
  4. Step 4: Simplify right side
    14,640.96x = 244,515,761.05
  5. Step 5: Solve for x
    x = 244,515,761.05/14,640.96
  6. Step 6: Final answer
    x = 16,700.80

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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.