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Finding the Fourth Proportional to 13,534.85, 18,677.97 and 7,485.09

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Solution

The fourth proportional to 13,534.85, 18,677.97 and 7,485.09 is: 10,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.85 : 18,677.97 = 7,485.09 : x
  2. Step 2: Convert to fraction form
    13,534.85/18,677.97 = 7,485.09/x
  3. Step 3: Cross multiply
    13,534.85x = 18,677.97 × 7,485.09
  4. Step 4: Simplify right side
    13,534.85x = 139,806,286.47
  5. Step 5: Solve for x
    x = 139,806,286.47/13,534.85
  6. Step 6: Final answer
    x = 10,329.36

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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.