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Finding the Fourth Proportional to 13,617.72, 20,409.30 and 5,289.84

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Solution

The fourth proportional to 13,617.72, 20,409.30 and 5,289.84 is: 7,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.72 : 20,409.30 = 5,289.84 : x
  2. Step 2: Convert to fraction form
    13,617.72/20,409.30 = 5,289.84/x
  3. Step 3: Cross multiply
    13,617.72x = 20,409.30 × 5,289.84
  4. Step 4: Simplify right side
    13,617.72x = 107,961,931.51
  5. Step 5: Solve for x
    x = 107,961,931.51/13,617.72
  6. Step 6: Final answer
    x = 7,928.05

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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.