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Finding the Fourth Proportional to 14,664.96, 20,218.04 and 12,137.76

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Solution

The fourth proportional to 14,664.96, 20,218.04 and 12,137.76 is: 16,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664.96 : 20,218.04 = 12,137.76 : x
  2. Step 2: Convert to fraction form
    14,664.96/20,218.04 = 12,137.76/x
  3. Step 3: Cross multiply
    14,664.96x = 20,218.04 × 12,137.76
  4. Step 4: Simplify right side
    14,664.96x = 245,401,717.19
  5. Step 5: Solve for x
    x = 245,401,717.19/14,664.96
  6. Step 6: Final answer
    x = 16,733.88

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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.