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Finding the Fourth Proportional to 21,596.46, 32,396.52 and 6,014.10

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Solution

The fourth proportional to 21,596.46, 32,396.52 and 6,014.10 is: 9,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.46 : 32,396.52 = 6,014.10 : x
  2. Step 2: Convert to fraction form
    21,596.46/32,396.52 = 6,014.10/x
  3. Step 3: Cross multiply
    21,596.46x = 32,396.52 × 6,014.10
  4. Step 4: Simplify right side
    21,596.46x = 194,835,910.93
  5. Step 5: Solve for x
    x = 194,835,910.93/21,596.46
  6. Step 6: Final answer
    x = 9,021.66

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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.