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Finding the Fourth Proportional to 18,295.78, 27,438.21 and 7,765.66

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Solution

The fourth proportional to 18,295.78, 27,438.21 and 7,765.66 is: 11,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,295.78 : 27,438.21 = 7,765.66 : x
  2. Step 2: Convert to fraction form
    18,295.78/27,438.21 = 7,765.66/x
  3. Step 3: Cross multiply
    18,295.78x = 27,438.21 × 7,765.66
  4. Step 4: Simplify right side
    18,295.78x = 213,075,809.87
  5. Step 5: Solve for x
    x = 213,075,809.87/18,295.78
  6. Step 6: Final answer
    x = 11,646.17

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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.