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Finding the Fourth Proportional to 20,356.86, 30,483.44 and 13,410.30

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Solution

The fourth proportional to 20,356.86, 30,483.44 and 13,410.30 is: 20,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.86 : 30,483.44 = 13,410.30 : x
  2. Step 2: Convert to fraction form
    20,356.86/30,483.44 = 13,410.30/x
  3. Step 3: Cross multiply
    20,356.86x = 30,483.44 × 13,410.30
  4. Step 4: Simplify right side
    20,356.86x = 408,791,956.54
  5. Step 5: Solve for x
    x = 408,791,956.54/20,356.86
  6. Step 6: Final answer
    x = 20,081.29

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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.