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Finding the Fourth Proportional to 13,677.43, 20,516.16 and 7,089.79

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Solution

The fourth proportional to 13,677.43, 20,516.16 and 7,089.79 is: 10,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.43 : 20,516.16 = 7,089.79 : x
  2. Step 2: Convert to fraction form
    13,677.43/20,516.16 = 7,089.79/x
  3. Step 3: Cross multiply
    13,677.43x = 20,516.16 × 7,089.79
  4. Step 4: Simplify right side
    13,677.43x = 145,455,266.01
  5. Step 5: Solve for x
    x = 145,455,266.01/13,677.43
  6. Step 6: Final answer
    x = 10,634.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.