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Finding the Fourth Proportional to 18,206.39, 27,313.49 and 10,312.64

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Solution

The fourth proportional to 18,206.39, 27,313.49 and 10,312.64 is: 15,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.39 : 27,313.49 = 10,312.64 : x
  2. Step 2: Convert to fraction form
    18,206.39/27,313.49 = 10,312.64/x
  3. Step 3: Cross multiply
    18,206.39x = 27,313.49 × 10,312.64
  4. Step 4: Simplify right side
    18,206.39x = 281,674,189.51
  5. Step 5: Solve for x
    x = 281,674,189.51/18,206.39
  6. Step 6: Final answer
    x = 15,471.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.