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Finding the Fourth Proportional to 21,011.60, 31,475.80 and 13,621.20

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Solution

The fourth proportional to 21,011.60, 31,475.80 and 13,621.20 is: 20,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.60 : 31,475.80 = 13,621.20 : x
  2. Step 2: Convert to fraction form
    21,011.60/31,475.80 = 13,621.20/x
  3. Step 3: Cross multiply
    21,011.60x = 31,475.80 × 13,621.20
  4. Step 4: Simplify right side
    21,011.60x = 428,738,166.96
  5. Step 5: Solve for x
    x = 428,738,166.96/21,011.60
  6. Step 6: Final answer
    x = 20,404.83

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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.