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Finding the Fourth Proportional to 20,520.50, 30,783.72 and 6,475.76

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Solution

The fourth proportional to 20,520.50, 30,783.72 and 6,475.76 is: 9,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.50 : 30,783.72 = 6,475.76 : x
  2. Step 2: Convert to fraction form
    20,520.50/30,783.72 = 6,475.76/x
  3. Step 3: Cross multiply
    20,520.50x = 30,783.72 × 6,475.76
  4. Step 4: Simplify right side
    20,520.50x = 199,347,982.63
  5. Step 5: Solve for x
    x = 199,347,982.63/20,520.50
  6. Step 6: Final answer
    x = 9,714.58

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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.