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Finding the Fourth Proportional to 20,430.94, 30,648.17 and 5,639.86

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Solution

The fourth proportional to 20,430.94, 30,648.17 and 5,639.86 is: 8,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.94 : 30,648.17 = 5,639.86 : x
  2. Step 2: Convert to fraction form
    20,430.94/30,648.17 = 5,639.86/x
  3. Step 3: Cross multiply
    20,430.94x = 30,648.17 × 5,639.86
  4. Step 4: Simplify right side
    20,430.94x = 172,851,236.35
  5. Step 5: Solve for x
    x = 172,851,236.35/20,430.94
  6. Step 6: Final answer
    x = 8,460.27

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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.