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Finding the Fourth Proportional to 18,206.22, 27,312.78 and 7,112.21

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Solution

The fourth proportional to 18,206.22, 27,312.78 and 7,112.21 is: 10,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.22 : 27,312.78 = 7,112.21 : x
  2. Step 2: Convert to fraction form
    18,206.22/27,312.78 = 7,112.21/x
  3. Step 3: Cross multiply
    18,206.22x = 27,312.78 × 7,112.21
  4. Step 4: Simplify right side
    18,206.22x = 194,254,054.92
  5. Step 5: Solve for x
    x = 194,254,054.92/18,206.22
  6. Step 6: Final answer
    x = 10,669.65

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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.