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Finding the Fourth Proportional to 27,765.26, 41,647.87 and 9,045.28

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Solution

The fourth proportional to 27,765.26, 41,647.87 and 9,045.28 is: 13,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.26 : 41,647.87 = 9,045.28 : x
  2. Step 2: Convert to fraction form
    27,765.26/41,647.87 = 9,045.28/x
  3. Step 3: Cross multiply
    27,765.26x = 41,647.87 × 9,045.28
  4. Step 4: Simplify right side
    27,765.26x = 376,716,423.77
  5. Step 5: Solve for x
    x = 376,716,423.77/27,765.26
  6. Step 6: Final answer
    x = 13,567.90

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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.