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Finding the Fourth Proportional to 27,199.38, 37,537.76 and 16,599.72

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Solution

The fourth proportional to 27,199.38, 37,537.76 and 16,599.72 is: 22,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.38 : 37,537.76 = 16,599.72 : x
  2. Step 2: Convert to fraction form
    27,199.38/37,537.76 = 16,599.72/x
  3. Step 3: Cross multiply
    27,199.38x = 37,537.76 × 16,599.72
  4. Step 4: Simplify right side
    27,199.38x = 623,116,305.43
  5. Step 5: Solve for x
    x = 623,116,305.43/27,199.38
  6. Step 6: Final answer
    x = 22,909.21

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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.