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Finding the Fourth Proportional to 13,697.44, 20,548.26 and 5,800

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Solution

The fourth proportional to 13,697.44, 20,548.26 and 5,800 is: 8,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.44 : 20,548.26 = 5,800 : x
  2. Step 2: Convert to fraction form
    13,697.44/20,548.26 = 5,800/x
  3. Step 3: Cross multiply
    13,697.44x = 20,548.26 × 5,800
  4. Step 4: Simplify right side
    13,697.44x = 119,179,908.00
  5. Step 5: Solve for x
    x = 119,179,908.00/13,697.44
  6. Step 6: Final answer
    x = 8,700.89

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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.