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Finding the Fourth Proportional to 20,154.76, 30,232.74 and 5,365.24

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Solution

The fourth proportional to 20,154.76, 30,232.74 and 5,365.24 is: 8,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.76 : 30,232.74 = 5,365.24 : x
  2. Step 2: Convert to fraction form
    20,154.76/30,232.74 = 5,365.24/x
  3. Step 3: Cross multiply
    20,154.76x = 30,232.74 × 5,365.24
  4. Step 4: Simplify right side
    20,154.76x = 162,205,905.96
  5. Step 5: Solve for x
    x = 162,205,905.96/20,154.76
  6. Step 6: Final answer
    x = 8,048.02

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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.