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Finding the Fourth Proportional to 20,260.52, 30,390.86 and 7,777.64

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Solution

The fourth proportional to 20,260.52, 30,390.86 and 7,777.64 is: 11,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,260.52 : 30,390.86 = 7,777.64 : x
  2. Step 2: Convert to fraction form
    20,260.52/30,390.86 = 7,777.64/x
  3. Step 3: Cross multiply
    20,260.52x = 30,390.86 × 7,777.64
  4. Step 4: Simplify right side
    20,260.52x = 236,369,168.37
  5. Step 5: Solve for x
    x = 236,369,168.37/20,260.52
  6. Step 6: Final answer
    x = 11,666.49

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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.