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Finding the Fourth Proportional to 20,482.35, 30,709.35 and 10,462.65

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Solution

The fourth proportional to 20,482.35, 30,709.35 and 10,462.65 is: 15,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.35 : 30,709.35 = 10,462.65 : x
  2. Step 2: Convert to fraction form
    20,482.35/30,709.35 = 10,462.65/x
  3. Step 3: Cross multiply
    20,482.35x = 30,709.35 × 10,462.65
  4. Step 4: Simplify right side
    20,482.35x = 321,301,180.78
  5. Step 5: Solve for x
    x = 321,301,180.78/20,482.35
  6. Step 6: Final answer
    x = 15,686.73

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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.