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Finding the Fourth Proportional to 20,005.54, 30,008.34 and 5,214.46

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Solution

The fourth proportional to 20,005.54, 30,008.34 and 5,214.46 is: 7,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.54 : 30,008.34 = 5,214.46 : x
  2. Step 2: Convert to fraction form
    20,005.54/30,008.34 = 5,214.46/x
  3. Step 3: Cross multiply
    20,005.54x = 30,008.34 × 5,214.46
  4. Step 4: Simplify right side
    20,005.54x = 156,477,288.60
  5. Step 5: Solve for x
    x = 156,477,288.60/20,005.54
  6. Step 6: Final answer
    x = 7,821.70

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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.