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Finding the Fourth Proportional to 27,442.72, 37,857.04 and 17,354.16

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Solution

The fourth proportional to 27,442.72, 37,857.04 and 17,354.16 is: 23,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.72 : 37,857.04 = 17,354.16 : x
  2. Step 2: Convert to fraction form
    27,442.72/37,857.04 = 17,354.16/x
  3. Step 3: Cross multiply
    27,442.72x = 37,857.04 × 17,354.16
  4. Step 4: Simplify right side
    27,442.72x = 656,977,129.29
  5. Step 5: Solve for x
    x = 656,977,129.29/27,442.72
  6. Step 6: Final answer
    x = 23,939.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.