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Finding the Fourth Proportional to 20,057.92, 30,065.76 and 9,647.68

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Solution

The fourth proportional to 20,057.92, 30,065.76 and 9,647.68 is: 14,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.92 : 30,065.76 = 9,647.68 : x
  2. Step 2: Convert to fraction form
    20,057.92/30,065.76 = 9,647.68/x
  3. Step 3: Cross multiply
    20,057.92x = 30,065.76 × 9,647.68
  4. Step 4: Simplify right side
    20,057.92x = 290,064,831.44
  5. Step 5: Solve for x
    x = 290,064,831.44/20,057.92
  6. Step 6: Final answer
    x = 14,461.36

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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.