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Finding the Fourth Proportional to 27,651.72, 41,477.73 and 6,875.22

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Solution

The fourth proportional to 27,651.72, 41,477.73 and 6,875.22 is: 10,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651.72 : 41,477.73 = 6,875.22 : x
  2. Step 2: Convert to fraction form
    27,651.72/41,477.73 = 6,875.22/x
  3. Step 3: Cross multiply
    27,651.72x = 41,477.73 × 6,875.22
  4. Step 4: Simplify right side
    27,651.72x = 285,168,518.85
  5. Step 5: Solve for x
    x = 285,168,518.85/27,651.72
  6. Step 6: Final answer
    x = 10,312.87

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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.