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Finding the Fourth Proportional to 27,785.63, 41,702.03 and 11,156.92

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Solution

The fourth proportional to 27,785.63, 41,702.03 and 11,156.92 is: 16,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.63 : 41,702.03 = 11,156.92 : x
  2. Step 2: Convert to fraction form
    27,785.63/41,702.03 = 11,156.92/x
  3. Step 3: Cross multiply
    27,785.63x = 41,702.03 × 11,156.92
  4. Step 4: Simplify right side
    27,785.63x = 465,266,212.55
  5. Step 5: Solve for x
    x = 465,266,212.55/27,785.63
  6. Step 6: Final answer
    x = 16,744.85

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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.