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Finding the Fourth Proportional to 14,890.50, 20,549.49 and 8,176.40

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Solution

The fourth proportional to 14,890.50, 20,549.49 and 8,176.40 is: 11,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890.50 : 20,549.49 = 8,176.40 : x
  2. Step 2: Convert to fraction form
    14,890.50/20,549.49 = 8,176.40/x
  3. Step 3: Cross multiply
    14,890.50x = 20,549.49 × 8,176.40
  4. Step 4: Simplify right side
    14,890.50x = 168,020,850.04
  5. Step 5: Solve for x
    x = 168,020,850.04/14,890.50
  6. Step 6: Final answer
    x = 11,283.76

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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.