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Finding the Fourth Proportional to 20,471.96, 30,706.68 and 7,323.68

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Solution

The fourth proportional to 20,471.96, 30,706.68 and 7,323.68 is: 10,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.96 : 30,706.68 = 7,323.68 : x
  2. Step 2: Convert to fraction form
    20,471.96/30,706.68 = 7,323.68/x
  3. Step 3: Cross multiply
    20,471.96x = 30,706.68 × 7,323.68
  4. Step 4: Simplify right side
    20,471.96x = 224,885,898.18
  5. Step 5: Solve for x
    x = 224,885,898.18/20,471.96
  6. Step 6: Final answer
    x = 10,985.07

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1.5x scale

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.