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Finding the Fourth Proportional to 13,178.64, 18,186.09 and 7,210.17

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Solution

The fourth proportional to 13,178.64, 18,186.09 and 7,210.17 is: 9,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.64 : 18,186.09 = 7,210.17 : x
  2. Step 2: Convert to fraction form
    13,178.64/18,186.09 = 7,210.17/x
  3. Step 3: Cross multiply
    13,178.64x = 18,186.09 × 7,210.17
  4. Step 4: Simplify right side
    13,178.64x = 131,124,800.54
  5. Step 5: Solve for x
    x = 131,124,800.54/13,178.64
  6. Step 6: Final answer
    x = 9,949.80

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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.