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Finding the Fourth Proportional to 13,477.84, 20,216.06 and 5,157.22

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Solution

The fourth proportional to 13,477.84, 20,216.06 and 5,157.22 is: 7,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.84 : 20,216.06 = 5,157.22 : x
  2. Step 2: Convert to fraction form
    13,477.84/20,216.06 = 5,157.22/x
  3. Step 3: Cross multiply
    13,477.84x = 20,216.06 × 5,157.22
  4. Step 4: Simplify right side
    13,477.84x = 104,258,635.37
  5. Step 5: Solve for x
    x = 104,258,635.37/13,477.84
  6. Step 6: Final answer
    x = 7,735.56

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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.