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Finding the Fourth Proportional to 27,782.40, 41,673.60 and 7,005.90

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Solution

The fourth proportional to 27,782.40, 41,673.60 and 7,005.90 is: 10,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.40 : 41,673.60 = 7,005.90 : x
  2. Step 2: Convert to fraction form
    27,782.40/41,673.60 = 7,005.90/x
  3. Step 3: Cross multiply
    27,782.40x = 41,673.60 × 7,005.90
  4. Step 4: Simplify right side
    27,782.40x = 291,961,074.24
  5. Step 5: Solve for x
    x = 291,961,074.24/27,782.40
  6. Step 6: Final answer
    x = 10,508.85

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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.