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Finding the Fourth Proportional to 25,842.63, 38,773.14 and 12,704.22

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Solution

The fourth proportional to 25,842.63, 38,773.14 and 12,704.22 is: 19,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.63 : 38,773.14 = 12,704.22 : x
  2. Step 2: Convert to fraction form
    25,842.63/38,773.14 = 12,704.22/x
  3. Step 3: Cross multiply
    25,842.63x = 38,773.14 × 12,704.22
  4. Step 4: Simplify right side
    25,842.63x = 492,582,500.65
  5. Step 5: Solve for x
    x = 492,582,500.65/25,842.63
  6. Step 6: Final answer
    x = 19,060.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.