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Finding the Fourth Proportional to 20,564.46, 30,842.06 and 9,460.46

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Solution

The fourth proportional to 20,564.46, 30,842.06 and 9,460.46 is: 14,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.46 : 30,842.06 = 9,460.46 : x
  2. Step 2: Convert to fraction form
    20,564.46/30,842.06 = 9,460.46/x
  3. Step 3: Cross multiply
    20,564.46x = 30,842.06 × 9,460.46
  4. Step 4: Simplify right side
    20,564.46x = 291,780,104.75
  5. Step 5: Solve for x
    x = 291,780,104.75/20,564.46
  6. Step 6: Final answer
    x = 14,188.56

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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.