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Finding the Fourth Proportional to 13,178.43, 18,176.00 and 8,463.15

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Solution

The fourth proportional to 13,178.43, 18,176.00 and 8,463.15 is: 11,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.43 : 18,176.00 = 8,463.15 : x
  2. Step 2: Convert to fraction form
    13,178.43/18,176.00 = 8,463.15/x
  3. Step 3: Cross multiply
    13,178.43x = 18,176.00 × 8,463.15
  4. Step 4: Simplify right side
    13,178.43x = 153,826,172.08
  5. Step 5: Solve for x
    x = 153,826,172.08/13,178.43
  6. Step 6: Final answer
    x = 11,672.57

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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.