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Finding the Fourth Proportional to 18,397.94, 27,614.23 and 9,639

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Solution

The fourth proportional to 18,397.94, 27,614.23 and 9,639 is: 14,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,397.94 : 27,614.23 = 9,639 : x
  2. Step 2: Convert to fraction form
    18,397.94/27,614.23 = 9,639/x
  3. Step 3: Cross multiply
    18,397.94x = 27,614.23 × 9,639
  4. Step 4: Simplify right side
    18,397.94x = 266,173,538.87
  5. Step 5: Solve for x
    x = 266,173,538.87/18,397.94
  6. Step 6: Final answer
    x = 14,467.58

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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.