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Finding the Fourth Proportional to 20,346.72, 30,500.64 and 6,486.72

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Solution

The fourth proportional to 20,346.72, 30,500.64 and 6,486.72 is: 9,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,346.72 : 30,500.64 = 6,486.72 : x
  2. Step 2: Convert to fraction form
    20,346.72/30,500.64 = 6,486.72/x
  3. Step 3: Cross multiply
    20,346.72x = 30,500.64 × 6,486.72
  4. Step 4: Simplify right side
    20,346.72x = 197,849,111.50
  5. Step 5: Solve for x
    x = 197,849,111.50/20,346.72
  6. Step 6: Final answer
    x = 9,723.88

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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.