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Finding the Fourth Proportional to 13,677.69, 18,874.67 and 7,710.60

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Solution

The fourth proportional to 13,677.69, 18,874.67 and 7,710.60 is: 10,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.69 : 18,874.67 = 7,710.60 : x
  2. Step 2: Convert to fraction form
    13,677.69/18,874.67 = 7,710.60/x
  3. Step 3: Cross multiply
    13,677.69x = 18,874.67 × 7,710.60
  4. Step 4: Simplify right side
    13,677.69x = 145,535,053.02
  5. Step 5: Solve for x
    x = 145,535,053.02/13,677.69
  6. Step 6: Final answer
    x = 10,640.32

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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.