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Finding the Fourth Proportional to 13,178.50, 18,186.17 and 7,210.08

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Solution

The fourth proportional to 13,178.50, 18,186.17 and 7,210.08 is: 9,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.50 : 18,186.17 = 7,210.08 : x
  2. Step 2: Convert to fraction form
    13,178.50/18,186.17 = 7,210.08/x
  3. Step 3: Cross multiply
    13,178.50x = 18,186.17 × 7,210.08
  4. Step 4: Simplify right side
    13,178.50x = 131,123,704.54
  5. Step 5: Solve for x
    x = 131,123,704.54/13,178.50
  6. Step 6: Final answer
    x = 9,949.82

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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.