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Finding the Fourth Proportional to 20,657.28, 30,944 and 9,548.54

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Solution

The fourth proportional to 20,657.28, 30,944 and 9,548.54 is: 14,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.28 : 30,944 = 9,548.54 : x
  2. Step 2: Convert to fraction form
    20,657.28/30,944 = 9,548.54/x
  3. Step 3: Cross multiply
    20,657.28x = 30,944 × 9,548.54
  4. Step 4: Simplify right side
    20,657.28x = 295,470,021.76
  5. Step 5: Solve for x
    x = 295,470,021.76/20,657.28
  6. Step 6: Final answer
    x = 14,303.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.