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Finding the Fourth Proportional to 14,722.68, 20,286.54 and 9,998.76

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Solution

The fourth proportional to 14,722.68, 20,286.54 and 9,998.76 is: 13,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.68 : 20,286.54 = 9,998.76 : x
  2. Step 2: Convert to fraction form
    14,722.68/20,286.54 = 9,998.76/x
  3. Step 3: Cross multiply
    14,722.68x = 20,286.54 × 9,998.76
  4. Step 4: Simplify right side
    14,722.68x = 202,840,244.69
  5. Step 5: Solve for x
    x = 202,840,244.69/14,722.68
  6. Step 6: Final answer
    x = 13,777.40

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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.