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Finding the Fourth Proportional to 13,665.70, 18,855.35 and 7,697.36

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Solution

The fourth proportional to 13,665.70, 18,855.35 and 7,697.36 is: 10,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.70 : 18,855.35 = 7,697.36 : x
  2. Step 2: Convert to fraction form
    13,665.70/18,855.35 = 7,697.36/x
  3. Step 3: Cross multiply
    13,665.70x = 18,855.35 × 7,697.36
  4. Step 4: Simplify right side
    13,665.70x = 145,136,454.39
  5. Step 5: Solve for x
    x = 145,136,454.39/13,665.70
  6. Step 6: Final answer
    x = 10,620.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.