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Finding the Fourth Proportional to 14,966.49, 20,653.41 and 8,251.98

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Solution

The fourth proportional to 14,966.49, 20,653.41 and 8,251.98 is: 11,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.49 : 20,653.41 = 8,251.98 : x
  2. Step 2: Convert to fraction form
    14,966.49/20,653.41 = 8,251.98/x
  3. Step 3: Cross multiply
    14,966.49x = 20,653.41 × 8,251.98
  4. Step 4: Simplify right side
    14,966.49x = 170,431,526.25
  5. Step 5: Solve for x
    x = 170,431,526.25/14,966.49
  6. Step 6: Final answer
    x = 11,387.54

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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.