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Finding the Fourth Proportional to 18,237.38, 27,358.46 and 7,142.63

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Solution

The fourth proportional to 18,237.38, 27,358.46 and 7,142.63 is: 10,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,237.38 : 27,358.46 = 7,142.63 : x
  2. Step 2: Convert to fraction form
    18,237.38/27,358.46 = 7,142.63/x
  3. Step 3: Cross multiply
    18,237.38x = 27,358.46 × 7,142.63
  4. Step 4: Simplify right side
    18,237.38x = 195,411,316.42
  5. Step 5: Solve for x
    x = 195,411,316.42/18,237.38
  6. Step 6: Final answer
    x = 10,714.88

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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.