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Finding the Fourth Proportional to 18,357.12, 27,568 and 13,678.40

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Solution

The fourth proportional to 18,357.12, 27,568 and 13,678.40 is: 20,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.12 : 27,568 = 13,678.40 : x
  2. Step 2: Convert to fraction form
    18,357.12/27,568 = 13,678.40/x
  3. Step 3: Cross multiply
    18,357.12x = 27,568 × 13,678.40
  4. Step 4: Simplify right side
    18,357.12x = 377,086,131.20
  5. Step 5: Solve for x
    x = 377,086,131.20/18,357.12
  6. Step 6: Final answer
    x = 20,541.68

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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.