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Finding the Fourth Proportional to 20,423.76, 30,580.56 and 14,170.56

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Solution

The fourth proportional to 20,423.76, 30,580.56 and 14,170.56 is: 21,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.76 : 30,580.56 = 14,170.56 : x
  2. Step 2: Convert to fraction form
    20,423.76/30,580.56 = 14,170.56/x
  3. Step 3: Cross multiply
    20,423.76x = 30,580.56 × 14,170.56
  4. Step 4: Simplify right side
    20,423.76x = 433,343,660.31
  5. Step 5: Solve for x
    x = 433,343,660.31/20,423.76
  6. Step 6: Final answer
    x = 21,217.62

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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.