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Finding the Fourth Proportional to 25,450.08, 38,174.64 and 7,920

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Solution

The fourth proportional to 25,450.08, 38,174.64 and 7,920 is: 11,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450.08 : 38,174.64 = 7,920 : x
  2. Step 2: Convert to fraction form
    25,450.08/38,174.64 = 7,920/x
  3. Step 3: Cross multiply
    25,450.08x = 38,174.64 × 7,920
  4. Step 4: Simplify right side
    25,450.08x = 302,343,148.80
  5. Step 5: Solve for x
    x = 302,343,148.80/25,450.08
  6. Step 6: Final answer
    x = 11,879.85

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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.