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Finding the Fourth Proportional to 13,478.34, 20,219.67 and 5,688.30

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Solution

The fourth proportional to 13,478.34, 20,219.67 and 5,688.30 is: 8,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.34 : 20,219.67 = 5,688.30 : x
  2. Step 2: Convert to fraction form
    13,478.34/20,219.67 = 5,688.30/x
  3. Step 3: Cross multiply
    13,478.34x = 20,219.67 × 5,688.30
  4. Step 4: Simplify right side
    13,478.34x = 115,015,548.86
  5. Step 5: Solve for x
    x = 115,015,548.86/13,478.34
  6. Step 6: Final answer
    x = 8,533.36

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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.