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Finding the Fourth Proportional to 13,675.09, 18,871.64 and 7,387.46

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Solution

The fourth proportional to 13,675.09, 18,871.64 and 7,387.46 is: 10,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.09 : 18,871.64 = 7,387.46 : x
  2. Step 2: Convert to fraction form
    13,675.09/18,871.64 = 7,387.46/x
  3. Step 3: Cross multiply
    13,675.09x = 18,871.64 × 7,387.46
  4. Step 4: Simplify right side
    13,675.09x = 139,413,448.70
  5. Step 5: Solve for x
    x = 139,413,448.70/13,675.09
  6. Step 6: Final answer
    x = 10,194.70

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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.