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Finding the Fourth Proportional to 13,586.27, 18,748.82 and 7,617.92

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Solution

The fourth proportional to 13,586.27, 18,748.82 and 7,617.92 is: 10,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.27 : 18,748.82 = 7,617.92 : x
  2. Step 2: Convert to fraction form
    13,586.27/18,748.82 = 7,617.92/x
  3. Step 3: Cross multiply
    13,586.27x = 18,748.82 × 7,617.92
  4. Step 4: Simplify right side
    13,586.27x = 142,826,972.76
  5. Step 5: Solve for x
    x = 142,826,972.76/13,586.27
  6. Step 6: Final answer
    x = 10,512.60

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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.