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Finding the Fourth Proportional to 27,830.70, 41,735.66 and 11,185.10

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Solution

The fourth proportional to 27,830.70, 41,735.66 and 11,185.10 is: 16,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.70 : 41,735.66 = 11,185.10 : x
  2. Step 2: Convert to fraction form
    27,830.70/41,735.66 = 11,185.10/x
  3. Step 3: Cross multiply
    27,830.70x = 41,735.66 × 11,185.10
  4. Step 4: Simplify right side
    27,830.70x = 466,817,530.67
  5. Step 5: Solve for x
    x = 466,817,530.67/27,830.70
  6. Step 6: Final answer
    x = 16,773.47

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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.