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Finding the Fourth Proportional to 21,474.72, 32,150.64 and 14,536.80

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Solution

The fourth proportional to 21,474.72, 32,150.64 and 14,536.80 is: 21,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474.72 : 32,150.64 = 14,536.80 : x
  2. Step 2: Convert to fraction form
    21,474.72/32,150.64 = 14,536.80/x
  3. Step 3: Cross multiply
    21,474.72x = 32,150.64 × 14,536.80
  4. Step 4: Simplify right side
    21,474.72x = 467,367,423.55
  5. Step 5: Solve for x
    x = 467,367,423.55/21,474.72
  6. Step 6: Final answer
    x = 21,763.61

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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.