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Finding the Fourth Proportional to 20,423.75, 30,637.75 and 5,632.67

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Solution

The fourth proportional to 20,423.75, 30,637.75 and 5,632.67 is: 8,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.75 : 30,637.75 = 5,632.67 : x
  2. Step 2: Convert to fraction form
    20,423.75/30,637.75 = 5,632.67/x
  3. Step 3: Cross multiply
    20,423.75x = 30,637.75 × 5,632.67
  4. Step 4: Simplify right side
    20,423.75x = 172,572,168.02
  5. Step 5: Solve for x
    x = 172,572,168.02/20,423.75
  6. Step 6: Final answer
    x = 8,449.58

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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.