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Finding the Fourth Proportional to 13,665.09, 18,857.64 and 7,697.37

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Solution

The fourth proportional to 13,665.09, 18,857.64 and 7,697.37 is: 10,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.09 : 18,857.64 = 7,697.37 : x
  2. Step 2: Convert to fraction form
    13,665.09/18,857.64 = 7,697.37/x
  3. Step 3: Cross multiply
    13,665.09x = 18,857.64 × 7,697.37
  4. Step 4: Simplify right side
    13,665.09x = 145,154,232.41
  5. Step 5: Solve for x
    x = 145,154,232.41/13,665.09
  6. Step 6: Final answer
    x = 10,622.27

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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.