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Finding the Fourth Proportional to 20,533.73, 30,795.86 and 5,743.67

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Solution

The fourth proportional to 20,533.73, 30,795.86 and 5,743.67 is: 8,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.73 : 30,795.86 = 5,743.67 : x
  2. Step 2: Convert to fraction form
    20,533.73/30,795.86 = 5,743.67/x
  3. Step 3: Cross multiply
    20,533.73x = 30,795.86 × 5,743.67
  4. Step 4: Simplify right side
    20,533.73x = 176,881,117.59
  5. Step 5: Solve for x
    x = 176,881,117.59/20,533.73
  6. Step 6: Final answer
    x = 8,614.18

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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.