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Finding the Fourth Proportional to 13,715.74, 18,929.26 and 7,747.79

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Solution

The fourth proportional to 13,715.74, 18,929.26 and 7,747.79 is: 10,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.74 : 18,929.26 = 7,747.79 : x
  2. Step 2: Convert to fraction form
    13,715.74/18,929.26 = 7,747.79/x
  3. Step 3: Cross multiply
    13,715.74x = 18,929.26 × 7,747.79
  4. Step 4: Simplify right side
    13,715.74x = 146,659,893.55
  5. Step 5: Solve for x
    x = 146,659,893.55/13,715.74
  6. Step 6: Final answer
    x = 10,692.82

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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.