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Finding the Fourth Proportional to 13,477.68, 20,219.32 and 5,686.56

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Solution

The fourth proportional to 13,477.68, 20,219.32 and 5,686.56 is: 8,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.68 : 20,219.32 = 5,686.56 : x
  2. Step 2: Convert to fraction form
    13,477.68/20,219.32 = 5,686.56/x
  3. Step 3: Cross multiply
    13,477.68x = 20,219.32 × 5,686.56
  4. Step 4: Simplify right side
    13,477.68x = 114,978,376.34
  5. Step 5: Solve for x
    x = 114,978,376.34/13,477.68
  6. Step 6: Final answer
    x = 8,531.02

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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.