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Finding the Fourth Proportional to 25,670.65, 38,505.43 and 11,819.65

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Solution

The fourth proportional to 25,670.65, 38,505.43 and 11,819.65 is: 17,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.65 : 38,505.43 = 11,819.65 : x
  2. Step 2: Convert to fraction form
    25,670.65/38,505.43 = 11,819.65/x
  3. Step 3: Cross multiply
    25,670.65x = 38,505.43 × 11,819.65
  4. Step 4: Simplify right side
    25,670.65x = 455,120,705.70
  5. Step 5: Solve for x
    x = 455,120,705.70/25,670.65
  6. Step 6: Final answer
    x = 17,729.22

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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.