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Finding the Fourth Proportional to 20,203.42, 30,300.42 and 7,718.86

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Solution

The fourth proportional to 20,203.42, 30,300.42 and 7,718.86 is: 11,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.42 : 30,300.42 = 7,718.86 : x
  2. Step 2: Convert to fraction form
    20,203.42/30,300.42 = 7,718.86/x
  3. Step 3: Cross multiply
    20,203.42x = 30,300.42 × 7,718.86
  4. Step 4: Simplify right side
    20,203.42x = 233,884,699.92
  5. Step 5: Solve for x
    x = 233,884,699.92/20,203.42
  6. Step 6: Final answer
    x = 11,576.49

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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.