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Finding the Fourth Proportional to 25,091.32, 37,642.74 and 8,450.92

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Solution

The fourth proportional to 25,091.32, 37,642.74 and 8,450.92 is: 12,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,091.32 : 37,642.74 = 8,450.92 : x
  2. Step 2: Convert to fraction form
    25,091.32/37,642.74 = 8,450.92/x
  3. Step 3: Cross multiply
    25,091.32x = 37,642.74 × 8,450.92
  4. Step 4: Simplify right side
    25,091.32x = 318,115,784.32
  5. Step 5: Solve for x
    x = 318,115,784.32/25,091.32
  6. Step 6: Final answer
    x = 12,678.32

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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.