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Finding the Fourth Proportional to 13,808.52, 20,704.59 and 5,484.06

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Solution

The fourth proportional to 13,808.52, 20,704.59 and 5,484.06 is: 8,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.52 : 20,704.59 = 5,484.06 : x
  2. Step 2: Convert to fraction form
    13,808.52/20,704.59 = 5,484.06/x
  3. Step 3: Cross multiply
    13,808.52x = 20,704.59 × 5,484.06
  4. Step 4: Simplify right side
    13,808.52x = 113,545,213.84
  5. Step 5: Solve for x
    x = 113,545,213.84/13,808.52
  6. Step 6: Final answer
    x = 8,222.84

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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.