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Finding the Fourth Proportional to 13,178.70, 18,186.84 and 7,210.62

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Solution

The fourth proportional to 13,178.70, 18,186.84 and 7,210.62 is: 9,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.70 : 18,186.84 = 7,210.62 : x
  2. Step 2: Convert to fraction form
    13,178.70/18,186.84 = 7,210.62/x
  3. Step 3: Cross multiply
    13,178.70x = 18,186.84 × 7,210.62
  4. Step 4: Simplify right side
    13,178.70x = 131,138,392.24
  5. Step 5: Solve for x
    x = 131,138,392.24/13,178.70
  6. Step 6: Final answer
    x = 9,950.78

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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.