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Finding the Fourth Proportional to 14,653.31, 20,222.56 and 8,277.69

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Solution

The fourth proportional to 14,653.31, 20,222.56 and 8,277.69 is: 11,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.31 : 20,222.56 = 8,277.69 : x
  2. Step 2: Convert to fraction form
    14,653.31/20,222.56 = 8,277.69/x
  3. Step 3: Cross multiply
    14,653.31x = 20,222.56 × 8,277.69
  4. Step 4: Simplify right side
    14,653.31x = 167,396,168.87
  5. Step 5: Solve for x
    x = 167,396,168.87/14,653.31
  6. Step 6: Final answer
    x = 11,423.78

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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.