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Finding the Fourth Proportional to 18,232.74, 27,329.67 and 7,700.58

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Solution

The fourth proportional to 18,232.74, 27,329.67 and 7,700.58 is: 11,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.74 : 27,329.67 = 7,700.58 : x
  2. Step 2: Convert to fraction form
    18,232.74/27,329.67 = 7,700.58/x
  3. Step 3: Cross multiply
    18,232.74x = 27,329.67 × 7,700.58
  4. Step 4: Simplify right side
    18,232.74x = 210,454,310.21
  5. Step 5: Solve for x
    x = 210,454,310.21/18,232.74
  6. Step 6: Final answer
    x = 11,542.66

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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.