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Finding the Fourth Proportional to 12,913.49, 17,817.33 and 7,877.39

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Solution

The fourth proportional to 12,913.49, 17,817.33 and 7,877.39 is: 10,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.49 : 17,817.33 = 7,877.39 : x
  2. Step 2: Convert to fraction form
    12,913.49/17,817.33 = 7,877.39/x
  3. Step 3: Cross multiply
    12,913.49x = 17,817.33 × 7,877.39
  4. Step 4: Simplify right side
    12,913.49x = 140,353,997.62
  5. Step 5: Solve for x
    x = 140,353,997.62/12,913.49
  6. Step 6: Final answer
    x = 10,868.79

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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.