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Finding the Fourth Proportional to 13,677.50, 18,876.03 and 7,628.60

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Solution

The fourth proportional to 13,677.50, 18,876.03 and 7,628.60 is: 10,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.50 : 18,876.03 = 7,628.60 : x
  2. Step 2: Convert to fraction form
    13,677.50/18,876.03 = 7,628.60/x
  3. Step 3: Cross multiply
    13,677.50x = 18,876.03 × 7,628.60
  4. Step 4: Simplify right side
    13,677.50x = 143,997,682.46
  5. Step 5: Solve for x
    x = 143,997,682.46/13,677.50
  6. Step 6: Final answer
    x = 10,528.07

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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.