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Finding the Fourth Proportional to 27,473.64, 37,897.38 and 17,537.64

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Solution

The fourth proportional to 27,473.64, 37,897.38 and 17,537.64 is: 24,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473.64 : 37,897.38 = 17,537.64 : x
  2. Step 2: Convert to fraction form
    27,473.64/37,897.38 = 17,537.64/x
  3. Step 3: Cross multiply
    27,473.64x = 37,897.38 × 17,537.64
  4. Step 4: Simplify right side
    27,473.64x = 664,630,607.38
  5. Step 5: Solve for x
    x = 664,630,607.38/27,473.64
  6. Step 6: Final answer
    x = 24,191.57

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Why These Related Problems?

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