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Finding the Fourth Proportional to 25,832.50, 38,743.64 and 7,107.74

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Solution

The fourth proportional to 25,832.50, 38,743.64 and 7,107.74 is: 10,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.50 : 38,743.64 = 7,107.74 : x
  2. Step 2: Convert to fraction form
    25,832.50/38,743.64 = 7,107.74/x
  3. Step 3: Cross multiply
    25,832.50x = 38,743.64 × 7,107.74
  4. Step 4: Simplify right side
    25,832.50x = 275,379,719.77
  5. Step 5: Solve for x
    x = 275,379,719.77/25,832.50
  6. Step 6: Final answer
    x = 10,660.20

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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.