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Finding the Fourth Proportional to 23,535.50, 35,317.84 and 13,679.42

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Solution

The fourth proportional to 23,535.50, 35,317.84 and 13,679.42 is: 20,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.50 : 35,317.84 = 13,679.42 : x
  2. Step 2: Convert to fraction form
    23,535.50/35,317.84 = 13,679.42/x
  3. Step 3: Cross multiply
    23,535.50x = 35,317.84 × 13,679.42
  4. Step 4: Simplify right side
    23,535.50x = 483,127,566.85
  5. Step 5: Solve for x
    x = 483,127,566.85/23,535.50
  6. Step 6: Final answer
    x = 20,527.61

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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.