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Finding the Fourth Proportional to 18,467.84, 27,700.68 and 6,775.76

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Solution

The fourth proportional to 18,467.84, 27,700.68 and 6,775.76 is: 10,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,467.84 : 27,700.68 = 6,775.76 : x
  2. Step 2: Convert to fraction form
    18,467.84/27,700.68 = 6,775.76/x
  3. Step 3: Cross multiply
    18,467.84x = 27,700.68 × 6,775.76
  4. Step 4: Simplify right side
    18,467.84x = 187,693,159.52
  5. Step 5: Solve for x
    x = 187,693,159.52/18,467.84
  6. Step 6: Final answer
    x = 10,163.24

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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.