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Finding the Fourth Proportional to 18,397.81, 27,614.04 and 9,638.88

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Solution

The fourth proportional to 18,397.81, 27,614.04 and 9,638.88 is: 14,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,397.81 : 27,614.04 = 9,638.88 : x
  2. Step 2: Convert to fraction form
    18,397.81/27,614.04 = 9,638.88/x
  3. Step 3: Cross multiply
    18,397.81x = 27,614.04 × 9,638.88
  4. Step 4: Simplify right side
    18,397.81x = 266,168,417.88
  5. Step 5: Solve for x
    x = 266,168,417.88/18,397.81
  6. Step 6: Final answer
    x = 14,467.40

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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.